José Bonet Solves | Academic Influence

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José Bonet Solves

Mathematics

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Group Theory

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Number Theory

#320

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Algebra

#492

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#659

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Mathematics

José Bonet Solves's Degrees

PhD Mathematics University of Barcelona
Masters Mathematics University of Barcelona
Bachelors Mathematics University of Barcelona

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Why Is José Bonet Solves Influential?

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According to Wikipedia, José Bonet Solves is a Spanish mathematician specialist in functional analysis and its applications to complex analysis and linear partial differential equations. Academic biography José Bonet graduated in Mathematics at the University of Valencia in 1977. In 1980 he defended his Ph.D. thesis in that University under the supervision of Professor Manuel Valdivia Ureña. Bonet was assistant in the University of Valencia from 1977 to 1983; between 1983 and 1987 he was associate professor, in the Polytechnic University of Valencia. Since 1987, Bonet is full professor in the Applied Mathematics Department at the Polytechnic University of Valencia. He was also Visiting Professor in the University of Paderborn, Germany in 1989 and in 2002. He had an Alexander Von Humboldt fellowship in Düsseldorf , Paderborn and Eichstätt ; Germany.

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José Bonet Solves's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Associated weights and spaces of holomorphic functions (1998) (233)
Barrelled Locally Convex Spaces (2012) (204)
Composition operators between weighted Banach spaces of analytic functions (1998) (158)
Weighted spaces of holomorphic functions on balanced domains. (1993) (142)
HYPERCYCLIC OPERATORS ON NON-NORMABLE FRECHET SPACES (1998) (109)
A comparison of two different ways to define classes of ultradifferentiable functions (2007) (103)
DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS (2008) (89)
Mean ergodic operators in Fréchet spaces (2009) (75)
Universal and chaotic multipliers on spaces of operators (2004) (69)
Stefan Heinrich's Density Condition for Fréchet Spaces and the Characterization of the Distinguished Köthe Echelon Spaces† (1988) (66)
Some aspects of the modern theory of Fréchet spaces (2003) (66)
Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions (1999) (65)
A Banach Space which Admits No Chaotic Operator (2001) (49)
Dual Density Conditions in (DF)— spaces, I (1988) (47)
Linear Chaos on Fréchet Spaces (2003) (45)
A note on mean ergodic composition operators on spaces of holomorphic functions (2011) (40)
Transitive and Hypercyclic Operators on Locally Convex Spaces (2005) (39)
The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations ✩ (2008) (39)
Real analytic curves in Fréchet spaces and their duals (1998) (39)
C0-semigroups and mean ergodic operators in a class of Fréchet spaces (2010) (39)
Hypercyclic and Chaotic Convolution Operators (2000) (39)
Pointwise multiplication operators on weighted Banach spaces of analytic functions (1999) (38)
On the range of the Borel map for classes of non-quasianalytic functions (1992) (35)
Mean ergodicity of multiplication operators in weighted spaces of holomorphic functions (2009) (35)
A note on weighted Banach spaces of holomorphic functions (2003) (35)
WEAKLY COMPACT COMPOSITION OPERATORS ON ANALYTIC VECTOR-VALUED FUNCTION SPACES (33)
Convergence of arithmetic means of operators in Fréchet spaces (2013) (33)
Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences (2006) (33)
Isometric weighted composition operators on weighted Banach spaces of type (2008) (32)
THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓ p+ AND L p− (2016) (31)
Montel resolvents and uniformly mean ergodic semigroups of linear operators (2013) (31)
Parameter dependence of solutions of partial differential equations in spaces of real analytic functions (2000) (30)
Weighted (LF)‐spaces of Continuous Functions (2006) (29)
Composition operators between weighted inductive limits of spaces of holomorphic functions (2005) (28)
Hypercyclic composition operators on spaces of real analytic functions† (2012) (28)
On the range of convolution operators on non-quasianalytic ultradifferentiable functions (1997) (28)
Chaos of the Differentiation Operator on Weighted Banach Spaces of Entire Functions (2013) (27)
A Question of Valdivia on Quasinormable Fréchet Spaces (1991) (26)
Mean ergodic semigroups of operators (2012) (26)
Dynamics of the differentiation operator on weighted spaces of entire functions (2009) (26)
On the injective tensor product of quasinormable spaces (1991) (24)
Grothendieck spaces with the Dunford–Pettis property (2010) (24)
Weakly Compact Composition Operators on Locally Convex Spaces (2002) (24)
Extension of vector-valued holomorphic and harmonic functions (2007) (23)
Density conditions in Fréchet and (DF)-spaces (1989) (22)
Power bounded composition operators on spaces of analytic functions (2011) (22)
The Problem of Topologies of Grothendieck and the Class of Fréchet T-Spaces (1991) (22)
A Note on the Spectrum of Composition Operators on Spaces of Real Analytic Functions (2003) (20)
Biduality in Fréchet and (LB)-spaces (1992) (19)
CHARACTERIZATION OF THE !-HYPOELLIPTIC CONVOLUTION OPERATORS ON ULTRADISTRIBUTIONS (2000) (18)
Two theorems of Josefson-Nissenzweig type for Fréchet spaces (1993) (18)
The Cesàro operator on Korenblum type spaces of analytic functions (2018) (18)
Interpolation of Vector‐Valued Real Analytic Functions (2002) (17)
Ultradistributions of Roumieu Type and Projective Descriptions (2001) (17)
Classical operators on weighted Banach spaces of entire functions (2013) (17)
A note about Volterra operators on weighted Banach spaces of entire functions (2014) (17)
The structure of spaces of quasianalytic functions of Roumieu type (2007) (17)
Superposition operators between weighted Banach spaces of analytic functions of controlled growth (2013) (17)
On the continuous Cesàro operator in certain function spaces (2015) (17)
Sampling sets and sufficient sets for A (2003) (17)
Tensor stable Fréchet and (DF)-spaces (1991) (16)
On weighted inductive limits of spaces of continuous functions (1986) (16)
On Distinguished Fréchet Spaces (1992) (15)
Schauder Decompositions and the Grothendieck and Dunford-Pettis Properties in Köthe Echelon Spaces of Infinite Order (2007) (15)
Every Quojection is the Quotient of a Countable Product of Banach Spaces (1989) (15)
The subspace problem for weighted inductive limits of spaces of holomorphic functions. (1994) (15)
Vector-valued meromorphic functions (2002) (15)
Spaces of operators between Fréchet spaces (1994) (14)
On the identity $L(E,F)=LB(E,F)$ for pairs of locally convex spaces $E$ and $F$ (1987) (14)
Nonradial Hörmander algebras of several variables and convolution operators (2001) (14)
Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions (2008) (14)
Weighted (LB)-spaces of holomorphic functions: VH(G) = V0H(G) and completeness of V0H(G) (2006) (14)
Weighted $L^{∞}$-estimates for Bergman projections (2005) (13)
Projective limits of weighted (LB)-spaces of continuous functions (2009) (13)
The Canonical Spectral Measure in Köthe Echelon Spaces (2005) (13)
The spectrum of Volterra operators on weighted spaces of entire functions (2015) (13)
Mean ergodic composition operators on generalized Fock spaces (2019) (13)
The Cesàro operator on power series spaces (2017) (13)
Mean ergodic operators and reflexive Fréchet lattices (2011) (13)
On the lifting of bounded sets in Fréchet spaces (1993) (13)
Classical operators on the Hörmander algebras (2014) (12)
A note on biduals of strict (LF)-spaces (1988) (12)
SPECTRUM AND COMPACTNESS OF THE CESÀRO OPERATOR ON WEIGHTED $\ell _{p}$ SPACES (2015) (12)
Mean ergodicity and spectrum of the Cesàro operator on weighted $$c_0$$c0 spaces (2016) (12)
Tensor products of Fréchet or (DF)-spaces with a Banach space (1992) (12)
Complete Spaces of Vector-Valued Holomorphic Germs. (1994) (11)
Some Recent Results on VC(X) (1989) (11)
Projective Descriptions of Weighted Inductive Limits: The Vector-Valued Cases (1989) (11)
Locally bounded sets of holomorphic mappings (1988) (10)
The Levy-Steinitz rearrangement theorem for duals of metrizable spaces (1999) (10)
Solid hulls of weighted Banach spaces of entire functions (2016) (10)
Operators on the Fréchet sequence spaces ces ( p + ) , 1 ≤ p < (2018) (10)
The countable neighbourhood property and tensor products (1985) (10)
The bidual of a distinguished Fréchet space need not be distinguished (1991) (10)
Interpolation of Entire Functions and Projective Descriptions (1997) (10)
Solid cores and solid hulls of weighted Bergman spaces (2019) (9)
The division problem for tempered distributions of one variable (2012) (9)
Operators acting in the dual spaces of discrete Cesàro spaces (2020) (9)
NONCOMPLETE MACKEY TOPOLOGIES ON BANACH SPACES (2010) (9)
Mean Ergodic Multiplication Operators on Weighted Spaces of Continuous Functions (2018) (9)
Solid hulls and cores of weighted H ∞ -spaces (2017) (9)
Weighted spaces of holomorphic functions and sequence spaces (1997) (9)
The Cesàro operator in weighted ℓ1 spaces (2017) (8)
PROJECTIVE DESCRIPTION OF WEIGHTED (LF)-SPACES OF HOLOMORPHIC FUNCTIONS ON THE DISC (2003) (8)
The range of non-surjective convolution operators on Beurling spaces (1996) (8)
Topological Structure of the Set of Weighted Composition Operators on Weighted Bergman Spaces of Infinite Order (2009) (8)
LOCALLY BOUNDED NONCONTINUOUS LINEAR-FORMS ON STRONG DUALS OF NONDISTINGUISHED KOTHE ECHELON SPACES (1990) (8)
The dual of the space of holomorphic functions on locally closed convex sets (2005) (8)
The density condition in subspaces and quotients of Frechet spaces (1994) (8)
Linear operators on the (LB)-sequence spaces ces(p-), 1 < p < ∞ (2019) (7)
Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces (2014) (7)
Multiplier and averaging operators in the Banach spaces ces(p),1<p<∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\m (2018) (7)
The Fréchet spaces ces(p+),1 < p < ∞ (2018) (7)
Some results on barreledness in projective tensor products (1984) (7)
Solid hulls and cores of weighted $$H^\infty $$H∞-spaces (2017) (7)
A question of D. Vogt on (LF)-spaces (1993) (7)
The Cesàro Operator in Growth Banach Spaces of Analytic Functions (2016) (6)
Bounded sets in (LF)-spaces (1995) (6)
Solid hulls of weighted Banach spaces of analytic functions on the unit disc with exponential weights (2017) (6)
Holomorphic functions on locally closed convex sets and projective descriptions (2003) (6)
The Spectrum of Volterra Operators on Korenblum Type Spaces of Analytic Functions (2019) (6)
Remarks and examples concerning suprabarreled and totally barreled spaces (1982) (6)
Shrinking and boundedly complete Schauder frames in Fréchet spaces (2014) (6)
Topics in Complex Analysis and Operator Theory (2012) (6)
Ranges of vector measures in Fréchet spaces (2000) (6)
Operators on the Fréchet sequence spaces $${\varvec{ces(p+)}}$$ces(p+), $$1\le p<\infty $$1≤p<∞ (2018) (6)
Projective representations of spaces of quasianalytic functionals (2004) (6)
The Pullback for bornological and ultrabornological spaces (2006) (6)
Monomial basis in Korenblum type spaces of analytic functions (2017) (6)
Multiplier and averaging operators in the Banach spaces $$\mathbf{ces(p), \, 1< p < \infty }$$ces(p),1 (2018) (5)
A problem on the structure of Fréchet spaces (2010) (5)
Associated weights for spaces of p-integrable entire functions (2020) (5)
Completeness of the (LB)-spacesVC(X) (1991) (5)
On the topological description of weighted inductive limits of spaces of holomorphic and harmonic functions (1999) (5)
Abel’s Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions (2015) (5)
Operator Spaces Containing c0 OR l∞ (1995) (5)
Quasianalytic functionals and projective descriptions (2004) (5)
Quojections and projective tensor products (1985) (5)
Biduality in (L-F)-spaces (2001) (4)
Abscissas of weak convergence of vector valued Dirichlet series (2015) (4)
On boundedness and compactness of Toeplitz operators in weighted H∞-spaces (2020) (4)
A Note on Completeness of Weighted Normed Spaces of Analytic Functions (2016) (4)
Frames and representing systems in Fr\'echet spaces and their duals (2014) (4)
On different types of non-distinguished Fréchet spaces (1990) (4)
Operators of solution for convolution equations (1997) (4)
Biduality in (LF)-spaces (2002) (4)
The canonical spectral measure and köothe function spaces (2006) (4)
Fréchet spaces with no infinite-dimensional Banach quotients (2012) (4)
A note on Taskinen's counterexamples on the problem of topologies of Grothendieck (1989) (4)
Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions (2012) (4)
A note on the Schwartz space ℬ(ℝn) endowed with the strict topology (1990) (4)
SPECTRAL MEASURES IN CLASSES OF FRÉCHET SPACES (2004) (4)
Cotype and complemented copies of $c_0$ in spaces of operators (1996) (3)
Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse (2008) (3)
The identity , tensor products and inductive limits (1989) (3)
The Ces\`aro operator on duals of power series spaces of infinite type (2018) (3)
Intersections of Fréchet Schwartz spaces and their duals (1997) (3)
Dynamics and spectrum of the Cesàro operator on $$C^\infty ({\mathbb R}_+)$$C∞(R+) (2016) (3)
The spectrum of composition operators induced by a rotation in the space of all analytic functions on the disc. (2019) (3)
Order spectrum of the Cesàro operator in Banach lattice sequence spaces (2019) (3)
Projective descriptions of inductive limits of Fréchet sequence spaces (1987) (3)
Nuclear weighted composition operators on weighted Banach spaces of analytic functions (2020) (3)
Coincidence of topologies on tensor products of Köthe echelon spaces (1994) (3)
Quojections and the problem of topologies of Grothendieck (1991) (2)
Dynamics of the Volterra-Type Integral and Differentiation Operators on Generalized Fock Spaces (2019) (2)
Invariant Subspaces of the Integration Operators on Hörmander Algebras and Korenblum Type Spaces (2020) (2)
Dynamics and spectrum of the Cesàro operator on C∞(R+)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^\infty ({\math (2016) (2)
Hausdorff Operators on Weighted Banach Spaces of Type $$H^{\infty }$$ (2021) (2)
Unbounded Bergman Projections on Weighted Spaces with Respect to Exponential Weights (2021) (2)
Weighted inductive limits of spaces of entire functions (2008) (2)
Distance Formulas on Weighted Banach Spaces of Analytic Functions (2018) (2)
The sets of monomorphisms and of almost open operators between locally convex spaces (2001) (2)
Characterizing Fréchet-Schwartz spaces via power bounded operators (2014) (2)
Fréchet spaces of Moscatelly type (1989) (2)
On the boundedness of Toeplitz operators with radial symbols over weighted sup-norm spaces of holomorphic functions (2020) (2)
Inductive limits of vector-valued sequence spaces. (1989) (2)
Linear Operators on the (LB)-Sequence Spaces $$\mathbf{ces(p-), 1< p \le \infty } $$ (2018) (2)
Strong duals of projective limits of (LB)-spaces (2002) (2)
The Range of the Restriction Map for a Multiplicity Variety in Hörmander Algebras of Entire Functions (2014) (2)
Closed linear maps from a barrelled normed space into itself need not be continuous (1998) (2)
Fréchet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesàro spaces (2021) (2)
Ultradifferentiable fundamental kernels of linear partial differential operators on non-quasianalytic classes of roumieu type (2007) (2)
Uniform mean ergodicity of $C_0$-semigroups\newline in a class of Fréchet spaces (2014) (2)
Erratum to: Dynamics and spectrum of the Cesàro operator on $$C^\infty ({\mathbb R}_+)$$C∞(R+) (2016) (2)
ConTrip: Consensus Sentiment review Analysis and Platform ratings in a single score (2022) (1)
MEAN ERGODIC PROPERTIES OF THE CONTINUOUS CESÀRO OPERATORS (2013) (1)
Seminar about the Bounded Approximation Property in Fréchet Spaces (2020) (1)
ConTrip: Consensus Sentiment review Analysis and Platform ratings in a single score (2022) (1)
A Note on the Spectrum of Composition Operators on Spaces of Real Analytic Functions (2016) (1)
Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions (2012) (1)
Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey (2022) (1)
Erratum to: Dynamics and spectrum of the Cesàro operator on C∞(R+)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^\i (2016) (1)
The Cesàro operator in weighted $\ell_1$ spaces (2017) (1)
Fréchet spaces ofMoscatelli type (1)
Duality for Monomorphisms and Almost Open Operators Between Locally Convex Spaces (1980) (1)
Invariant subspaces for the integration operators on weighted locally convex spaces of holomorphic functions (2020) (1)
Non-commutative locally convex measures (2011) (1)
Superposition operators between weighted Banach spaces of analytic functions of controlled growth (2012) (1)
Factorization of weakly compact operators between Banach spaces and Fr echet or (LB)-spaces (2012) (1)
A note about the spectrum of composition operators induced by a rotation (2020) (1)
Schauder bases and the decay rate of the heat equation (2018) (1)
The differentiation operator in the space of uniformly convergent Dirichlet series (2020) (1)
The Subspace Problem for Weighted Inductive Limits Revisited (2000) (1)
Convolution operators on quasianalytic classes of Roumieu type (2008) (1)
Operators acting in sequence spaces generated by Dual Banach spaces of discrete Cesàro spaces (2020) (1)
Dense subspaces of quasinormable spaces (2006) (1)
Boolean algebras of projections in (DF)-and (LF)-spaces (2003) (1)
On LB-, Fréchet, and LF-spaces of Moscatelli type (1988) (1)
Intersections of Fréchet Spaces and (LB)-Spaces (2006) (1)
Spaces of Moscatelli type. A survey (2012) (1)
Every Separable Complex Fréchet Space with a Continuous Norm is Isomorphic to a Space of Holomorphic Functions (2020) (1)
(DF)-Spaces of type and (1990) (1)
Hausdorff Operators on Weighted Banach Spaces of Type H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^{\infty }$$\ (2021) (0)
On the mathematical work of Jean Schmets (2007) (0)
Chaos of the Differentiation Operator on Weighted Banach Spaces of Entire Functions (2011) (0)
Progress in functional analysis : proceedings of the International Functional Analysis Meeting on the occasion of the 60th birthday of professor M. Valdivia, Peñíscola, Spain, 22-27 October 1990 (1992) (0)
The Cesàro Operator in Growth Banach Spaces of Analytic Functions (2016) (0)
Toeplitz operators on the space of analytic functions with logarithmic growth (2009) (0)
The Cesàro operator on Korenblum type spaces of analytic functions (2017) (0)
On the continuous Cesàro operator in certain function spaces (2015) (0)
non-quasianalytic classes of Roumieu type (2004) (0)
Mean ergodic semigroups of operators (2011) (0)
Operators acting in the dual spaces of discrete Cesàro spaces (2020) (0)
Schauder bases and the decay rate of the heat equation (2019) (0)
WEAKLY COMPACT WEDGE OPERATORS ON K OTHE ECHELON SPACES (2004) (0)
A Note on Completeness of Weighted Normed Spaces of Analytic Functions (2017) (0)
Distance Formulas on Weighted Banach Spaces of Analytic Functions (2018) (0)
The Fréchet Schwartz Algebra of Uniformly Convergent Dirichlet Series (2018) (0)
On decay rates of the solutions of parabolic Cauchy problems (2020) (0)
Topologies of the duals of spaces of holomorphic functions on locally closed convex sets (2003) (0)
Dynamics of the Volterra-Type Integral and Differentiation Operators on Generalized Fock Spaces (2019) (0)
A Note on Strict LF-Spaces (1989) (0)
Composition and superposition operators on weighted Banach spaces of holomorphic functions of type H 1 (2008) (0)
Angular derivatives for infinitesimal generators of one-parameter semigroups (2014) (0)
The mathematical work of Paweł Domański (2018) (0)
Dynamics of shift operators on non-metrizable sequence spaces (2019) (0)
Bornological projective limits of inductive limits of normed spaces (2014) (0)
Order spectrum of the Cesàro operator in Banach lattice sequence spaces (2019) (0)
FA ] 1 D ec 2 01 7 Monomial basis in Korenblum type spaces of analytic functions (2017) (0)
Shrinking and boundedly complete atomic decompositions in Fr\'echet spaces (2012) (0)
Mean Ergodic Multiplication Operators on Weighted Spaces of Continuous Functions (2018) (0)
A note about the spectrum of composition operators induced by a rotation (2020) (0)
The Range of the Restriction Map for a Multiplicity Variety in Hörmander Algebras of Entire Functions (2013) (0)
Fr\'{e}chet and (LB) sequence spaces induced by dual Banach spaces of discrete Ces\`{a}ro spaces (2020) (0)
A note on completeness of weighted Banach spaces of analytic functions (2016) (0)
Abel’s Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions (2014) (0)
Erratum to: Dual Density Conditions in (DF)-spaces, I (1989) (0)
ON SOLID CORES AND HULLS OF WEIGHTED BERGMAN SPACES $$A_{\mu }^1$$ (2022) (0)

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