Nigel Kalton

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Nigel Kalton is affiliated with the following schools: University of Missouri, Hebrew University of Jerusalem, University of Cambridge

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Nigel Kalton

Mathematics

#1173

World Rank

#1968

Historical Rank

#499

USA Rank

Measure Theory

#758

World Rank

#1016

Historical Rank

#301

USA Rank

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Mathematics

Why Is Nigel Kalton Influential?

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According to Wikipedia, Nigel John Kalton was a British-American mathematician, known for his contributions to functional analysis. Career Kalton was born in Bromley and educated at Dulwich College, where he excelled at both mathematics and chess. After studying mathematics at Trinity College, Cambridge, he received his PhD, which was awarded the Rayleigh Prize for research excellence, from Cambridge University in 1970. He then held positions at Lehigh University in Pennsylvania, Warwick, Swansea, University of Illinois, and Michigan State University, before becoming full professor at the University of Missouri, Columbia, in 1979.

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Nigel Kalton'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

Topics in Banach space theory (2006) (955)
An F-space sampler (1984) (489)
The H ∞ −calculus and sums of closed operators (2001) (328)
The Existence Of Value In Differential Games (1972) (301)
Lipschitz-free Banach spaces (2003) (251)
Spaces of compact operators (1974) (209)
Twisted sums of sequence spaces and the three space problem (1979) (189)
The $H^{\infty}-$calculus and sums of closed operators (2000) (188)
Symmetric norms and spaces of operators (2008) (156)
On the existence of almost greedy bases in Banach spaces (2003) (142)
Unconditional ideals in Banach spaces (1993) (137)
SEQUENCES AND SERIES IN BANACH SPACES (Graduate Texts in Mathematics, 92) (1985) (134)
Stability results on interpolation scales of quasi-Banach spaces and applications (1997) (134)
Some remarks on multilinear maps and interpolation (2001) (132)
The three-space problem for locally bounded F-spaces (1978) (113)
Nonlinear equations and weighted norm inequalities (1997) (113)
Multilinear Calderón-Zygmund operators on Hardy spaces (2000) (112)
Property (M), M-ideals, and almost isometric structure of Banach spaces. (1993) (107)
Szlenk indices and uniform homeomorphisms (1999) (103)
Uniformly exhaustive submeasures and nearly additive set functions (1983) (99)
Interpolation of Hardy-Sobolev-Besov-Triebel-Lizorkin Spaces and Applications to Problems in Partial Differential Equations (2006) (99)
Convexity, type and three space problem (1981) (88)
Locally Complemented Subspaces and Lp-Spaces for 0 < p < 1 (1984) (87)
Interaction between functional analysis, harmonic analysis, and probability (1996) (84)
A solution to the problem of $L^p-$maximal regularity (1999) (83)
$M$-ideals of compact operators (1993) (79)
Some Applications of Operator-Valued Herglotz Functions (1998) (79)
Spaces of Lipscitz and Hlder functions and their applications (2004) (78)
Perturbation and Interpolation Theorems for the H∞-Calculus with Applications to Differential Operators (2006) (78)
Chapter 25 - Quasi-Banach Spaces (2003) (76)
Differentials of complex interpolation processes for Köthe function spaces (1992) (76)
Convexity conditions for non-locally convex lattices (1984) (72)
Orlicz sequence spaces without local convexity (1977) (72)
The Marcinkiewicz multiplier condition for bilinear operators (2000) (70)
Ideal properties of regular operators between Banach lattices (1985) (68)
The existence of value in differential games of pursuit and evasion (1972) (67)
Plurisubharmonic functions on quasi-Banach spaces (1986) (66)
Distances between Banach spaces (1997) (65)
Tauberian operators on Banach spaces (1976) (64)
Nonlinear Commutators in Interpolation Theory (1988) (63)
Frames of translates (1998) (62)
SUBSPACES OF c0(N) AND LIPSCHITZ ISOMORPHISMS (1999) (59)
Basic sequences in F-spaces and their applications (1974) (59)
Twisted sums with $C(K)$ spaces (2003) (57)
Values in differential games (1972) (56)
Orthonormal systems in Banach spaces and their applications (1976) (53)
Interpolation of compact operators by the methods of Calderón and Gustavsson–Peetre (1992) (52)
Trace-Class Operators and Commutators (1989) (51)
Chapter 26 – Interpolation of Banach Spaces (2003) (51)
Geometry of Banach Spaces: Notes on approximation properties in separable Banach spaces (1991) (49)
Linear operators on _{} for 0<<1 (1980) (46)
Kernels of surjections from ${\cal L}_1$-spaces with an application to Sidon sets (1996) (46)
The uniform structure of Banach spaces (2012) (46)
Cauchy problems for certain Isaacs-Bellman equations and games of survival (1974) (46)
Subspaces of $ c_0 ({\Bbb N}) $ and Lipschitz isomorphisms (2000) (45)
COARSE AND UNIFORM EMBEDDINGS INTO REFLEXIVE SPACES (2007) (45)
Power‐Bounded Operators and Related Norm Estimates (2002) (45)
An Elementary Example of a Banach Space not Isomorphic to its Complex Conjugate (1994) (44)
Inclusion Theorems for K-Spaces (1973) (44)
Unconditionality in spaces of m-homogeneous polynomials (2005) (44)
Calderón couples of rearrangement invariant spaces (1993) (44)
Intersection bodies and Lp-spaces (2005) (43)
Roots of complex polynomials and Weyl-Heisenberg frame sets (2002) (42)
Some forms of the closed graph theorem (1971) (42)
A Unified Theory of Commutator Estimates for a Class of Interpolation Methods (2002) (42)
The Geometry of ${{L}_{0}}$ (2004) (41)
Uniqueness of unconditional bases in Banach spaces (1996) (41)
Traces of compact operators and the noncommutative residue (2012) (40)
SURJECTIVE ISOMETRIES ON REARRANGEMENT-INVARIANT SPACES (1992) (40)
Uniqueness of unconditional bases in quasi-banach spaces with applications to Hardy spaces (1990) (40)
A new metric invariant for Banach spaces (2009) (40)
Lattice Structures on Banach Spaces (1993) (39)
Saddle Points for Linear Differential Games (1973) (37)
Best constants for Lipschitz embeddings of metric spaces into $c_0$ (2007) (36)
SPECTRAL CHARACTERIZATION OF SUMS OF COMMUTATORS II (1997) (36)
On Subspaces of c0 and Extension of Operators into C(K)‐Spaces (1999) (36)
A solution to the problem of Lp − maximal regularity (2000) (36)
Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed Ideals (2008) (36)
The Nonlinear Geometry of Banach Spaces (2008) (35)
Schauder decompositions in locally convex spaces (1970) (33)
The basic sequence problem (1994) (33)
Banach Envelopes of Non-Locally Convex Spaces (1986) (33)
Compact and strictly singular operators on Orlicz spaces (1977) (33)
Extending Lipschitz maps into C(K)-spaces (2007) (32)
Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces (2011) (31)
REMARKS ON RICH SUBSPACES OF BANACH SPACES (2002) (31)
Sums of commutators in ideals and modules of type II factors (2003) (31)
Lipschitz and uniform embeddings into l (infinito) (2011) (31)
Characterizations of strictly singular operators on Banach lattices (2009) (30)
Spaces of Lipschitz and H¨ older functions and their applications (2004) (30)
Exhaustive operators and vector measures (1975) (30)
$FK$-spaces containing $c_0$ (1972) (30)
Lipschitz structure of quasi-Banach spaces (2009) (30)
Embedding vector‐valued Besov spaces into spaces of γ ‐radonifying operators (2008) (29)
Subseries convergence in topological groups and vector spaces (1971) (29)
Set-functions and factorization (1992) (28)
Banach spaces embedding intoL0 (1985) (28)
The $H^{\infty}$-Functional Calculus and Square Function Estimates (2014) (28)
Complex Interpolation of Hardy‐Type Subspaces (1994) (27)
The range of operators on von Neumann algebras (2001) (26)
Analytic functions in non-locally convex spaces and applications (1986) (26)
Extension of linear operators and Lipschitz maps into C(K)-spaces (2007) (26)
Unconditional bases and unconditional finite-dimensional decompositions in Banach spaces (1994) (26)
Lipschitz and uniform embeddings into ` ∞ (2011) (26)
Spectral characterization of sums of commutators I (1997) (25)
R-bounded approximating sequences and applications to semigroups (2004) (25)
An Introductory Course in Functional Analysis (2014) (25)
A Re-examination of the Roberts example of a compact convex set without extreme points (1980) (24)
APPROXIMATING SEQUENCES AND BIDUAL PROJECTIONS (1997) (23)
Geometry of finite dimensional subspaces and quotients of Lp (1989) (23)
Generalizing the Paley-Wiener perturbation theory for Banach spaces (1997) (23)
Examples of uniformly homeomorphic Banach spaces (2013) (23)
Cesaro mean convergence of martingale differences in rearrangement invariant spaces (2008) (22)
Local structure theory for quasi-normed spaces (1994) (22)
Consistency theorems for almost convergence (1974) (21)
INTERPOLATION OF SUBSPACES AND APPLICATIONS TO EXPONENTIAL BASES (1999) (21)
The coarse Lipschitz geometry of $$\ell_p\oplus\ell_q$$ (2008) (21)
REMARKS ON ℓ1 AND $\ell _{\infty }$-MAXIMAL REGULARITY FOR POWER-BOUNDED OPERATORS (2008) (21)
On absolute bases (1973) (21)
Uniform homeomorphisms of Banach spaces and asymptotic structure (2012) (20)
Uniqueness of unconditional bases in c_0-products (1998) (20)
SCHAUDER DECOMPOSITIONS AND COMPLETENESS (1970) (19)
Bases and basic sequences in F-spaces (1976) (19)
Complex interpolation and complementably minimal spaces (1994) (18)
A note on pairs of projections (1997) (18)
Curves with zero derivative in F-spaces (1981) (18)
On vector-valued inequalities for Sidon sets and sets of interpolation (1992) (18)
The coarse Lipschitz geometry of p ⊕ q (2008) (18)
Isomorphisms between Lp-function spaces when p < 1 (1981) (18)
Universal spaces and universal bases in metric spaces (1977) (17)
TWISTED HILBERT SPACES AND UNCONDITIONAL STRUCTURE (2003) (17)
Polynomial Approximation on Convex Subsets of Rn (2000) (17)
A remark on quasi-isometries (2002) (17)
Convergence of the weak dual greedy algorithm in Lp-spaces (2003) (17)
A symplectic Banach space with no Lagrangian subspaces (1982) (16)
Isometric Embeddings and Universal Spaces (2007) (16)
Quotients of $L_{p}(0,1)$ for 0 ≤ p < 1 (1979) (16)
Embedding vector-valued Besov spaces into spaces of gamma-radonifying operators (2006) (16)
TWISTED SUMS, FENCHEL-ORLICZ SPACES AND PROPERTY (M) (1996) (15)
Asymptotic Unconditionality (2008) (15)
Delta-semidefinite and Delta-convex Quadratic Forms in Banach Spaces (2006) (15)
A remark on Banach spaces isomorphic to their squares (1999) (15)
EmbeddingL1 in a Banach lattice (1979) (15)
Homomorphisms of group algebras with norm less than $\sqrt{2}$. (1976) (14)
Factorization theorems for quasi-normed spaces (1992) (14)
Perturbations of isometries between C(K)-spaces (2005) (14)
Upper values of differential games (1973) (14)
Topologies on Riesz Groups and Applications to Measure Theory (1974) (14)
METRIC LINEAR SPACES (Mathematics and Its Applications: East European Series) (1987) (14)
AnF-space with trivial dual where the Krein-Milman theorem holds (1980) (14)
Schauder bases and reflexivity (1970) (13)
A Characterization of Real C(K)-Spaces (2007) (13)
Complex interpolation and twisted twisted Hilbert spaces (2014) (13)
AnF-space with trivial dual and non-trivial compact endomorphisms (1975) (13)
Uniqueness of the Unconditional Basis of (2005) (12)
REMARKS ON `1 AND `∞-MAXIMAL REGULARITY FOR POWER-BOUNDED OPERATORS (2008) (12)
Rademacher series and decoupling (2005) (12)
Compact and strictly singular operators on certain function spaces (1984) (12)
Boundary Value Problems for Nonlinear Partial Differential Operators (1974) (12)
Isometries on rearrangement-invariant spaces (1993) (12)
The complemented subspace problem revisited (2008) (12)
The Geometry of L0 (2007) (11)
Invariant Subspaces and the Exponential Map (2004) (11)
Lp-maximal regularity on Banach spaces with a Schauder basis (2000) (11)
Unconditionally Convergent Series of Operators and Narrow Operators on L1 (2003) (11)
Operators with an absolute functional calculus (2010) (11)
COMPACT p-CONVEX SETS (1977) (11)
Addendum to: “$FK$-spaces containing $c_0$” (1972) (11)
Hermitian operators on complex Banach lattices and a problem of Garth Dales (2012) (11)
A rigid subspace of (1981) (11)
Decompositions of Banach lattices into direct sums (1987) (11)
TYPE AND ORDER CONVEXITY OF MARCINKIEWICZ AND LORENTZ SPACES AND APPLICATIONS (2005) (10)
The existence of primitives for continuous functions in a quasi-Banach space (1994) (10)
Unusual Traces on Operator Ideals (1987) (10)
NORMALIZATION PROPERTIES OF SCHAUDER BASES (1971) (10)
Banach spaces embedding isometrically into L~p when 0 < p < 1 (2003) (10)
−calculus and Sums of Closed Operators (9)
On the Dieudonne Property for C(Ω, E) (1986) (9)
Quotients of F-spaces (1978) (9)
Isomorphisms between spaces of vector-valued continuous functions (1983) (8)
Some applications of vector-valued analytic and harmonic functions (1986) (8)
Euclidean structures and operator theory in Banach spaces (2019) (8)
Subspaces of Rearrangement-Invariant Spaces (1995) (8)
A Rigid Subspace of L 0 (1981) (8)
Best constants for some operators associated with the Fourier and Hilbert transforms (2003) (8)
On nonatomic Banach lattices and Hardy spaces (1992) (8)
On Banach Spaces containing $l_p$ or $c_0$ (2008) (7)
$L\sb{0}$-valued vector measures are bounded (1982) (7)
On the weak-basis theorem (1973) (7)
Mackey duals and almost shrinking bases (1973) (7)
HOMOMORPHISMS OF GROUP ALGEBRAS WITH NORM LESS THAN V2 (2004) (7)
A barrelled space without a basis (1970) (7)
An Analogue of the Radon-Nikodym Property for Non-Locally Convex Quasi-Banach Spaces (1979) (7)
SECTORIAL OPERATORS AND INTERPOLATION THEORY (2007) (6)
Remarks on subspaces of $H_p$\ when $0 (1982) (6)
Equimodular limit periodic continued fractions (1986) (6)
Automorphisms of $\mathcal{C}(K)$-spaces and extension of linear operators (2008) (6)
On rearrangements of vector-valuedH1-functions (1988) (6)
The Behaviour of Legendre And Ultraspherical Polynomials in Lp -Spaces (1998) (6)
BANACH SPACES FOR WHICH THE IDEAL OF COMPACT OPERATORS IS AN M-IDEAL (1991) (6)
Sums of Idempotents in Banach Algebras (1988) (6)
AUTOMORPHISMS OF C(K)-SPACES AND EXTENSION OF LINEAR OPERATORS (2009) (6)
Embedding L-cubes in finite-dimensional 1-subsymmetric spaces (1989) (5)
Subalgebras of Orlicz spaces and related algebras of analytic functions (1980) (5)
Gap-interpolation theorems for entire functions. (1980) (5)
Geometry of Banach Spaces: Minimal and strongly minimal Orlicz sequence spaces (1991) (5)
Applications of Banach space theory to sectorial operators (2001) (5)
Bases in Non-Closed Subspaces of ω (1971) (5)
HOMOMORPHISMS OF GROUP ALGEBRAS WITH NORM (2012) (5)
Alternate Play in Differential Games (1974) (5)
Positive Definite Distributions and Normed Spaces (2010) (5)
Convergence of the dual greedy algorithm in Banach spaces (2009) (5)
Some remarks on interpolation of families of quasi-Banach spaces (1989) (5)
Unconditional and normalised bases (1970) (5)
HOMOMORPHISMS OF GROUP ALGEBRAS WITH NORM (2012) (5)
Multilinear paraproducts revisited (2015) (5)
Orbits in symmetric spaces, II (2010) (4)
On summability domains (1973) (4)
Review: C. D. Aliprantis and O. Burkinshaw, Positive operators (1987) (4)
Differential Games of Survival (1975) (4)
Compact convex sets and complex convexity (1987) (4)
Lp(X)(1≤p<∞) has the property (u) whenever X does (1991) (4)
Some Ramsey type theorems for normed and quasinormed spaces (1997) (4)
Uniqueness of unconditional and symmetric structures in finite dimensional spaces (1990) (4)
Perturbations of the H 1 -calculus (2007) (3)
An F-space Sampler: THREE SPACE PROBLEMS (1984) (3)
A Note on the Spaces L p for 0 < p 1 (1976) (3)
Differentiability properties of vector valued functions (1986) (3)
The M-ideal structure of some algebras of bounded linear operators (1993) (3)
A series characterization of subspaces of $L_p \left( \mu \right)$ spaces (1973) (3)
On a class of nonlinear functionals on spaces of continuous functions (1976) (3)
Zeros of entire functions and characteristic determinants (1990) (3)
On the Dieudonn property for $C(\Omega,E)$ (1986) (3)
A new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces (2008) (3)
Polynomial approximation on convex subsets of R (2008) (3)
Linear operators whose domain is locally convex (1977) (3)
A Converse for the Cayley-Hamilton Theorem (1985) (3)
Perturbations of the H ∞ -calculus (2007) (3)
A remark on the H ∞-calculus (2007) (2)
Lo-VALUED VECTOR MEASURES ARE BOUNDED (2008) (2)
On operators on $L_0$ (1984) (2)
An Example in the Theory of Bilinear Maps (1982) (2)
Differential games with optional stopping (1974) (2)
QUOTIENTS OF FINITE-DIMENSIONAL QUASI-NORMED SPACES (2001) (2)
Cautyʼs space enhanced (2012) (2)
Methods in Banach Space Theory: Extension problems for C ( K ) spaces and twisted sums (2006) (2)
Pathological linear spaces and submeasures (1983) (2)
The Orlicz - Pettis theorem (1980) (2)
Rademacher bounded families of operators on (2008) (2)
Values of Positional Games (1975) (2)
A REMARK ON A PROBLEM OF KLEE (1996) (2)
RADIAL BANACH ALGEBRAS (1975) (2)
Sequences or random variables in Lp for p<1. (1981) (2)
Marcinkiewicz spaces, commutators and non-commutative geometry (2011) (2)
FA ] 8 S ep 1 99 7 STABILITY RESULTS ON INTERPOLATION SCALES OF QUASI-BANACH SPACES AND APPLICATIONS (1998) (1)
A note on galbed spaces (1980) (1)
Calder\'on couples of re-arrangement invariant spaces (1992) (1)
GREEDY ALGORITHMS AND BASES FROM THE POINT OF VIEW OF BANACH SPACE THEORY (2007) (1)
ℓ p -Subspaces of Banach Spaces (2016) (1)
Harmonic functions in non-locally convex spaces (1988) (1)
Rademacher series from Orlicz to the present day (2004) (1)
3146. Quadratic forms that are perfect squares (1966) (1)
Idempotents of norm one and Banach algebra representations of compact groups (1976) (1)
A note on the spaces _{} for 0<≤1 (1976) (1)
On rearrangements of vector-valued Hi-functions (2006) (1)
NOTES ON OTHER DIRECTIONS OF RESEARCH (1984) (0)
Houston Journal of Mathematics (2003) (0)
Compact Operators and Fredholm Theory (2014) (0)
The Classical Sequence Spaces (2016) (0)
Annalen Operators with an absolute functional calculus (2009) (0)
An F-space Sampler: GLOSSARY OF TERMS (1984) (0)
L 1(μ)-Spaces and (K)-Spaces (2016) (0)
The Hahn–Banach Theorems (2014) (0)
COMMENTS ON THE PAPER: N. J. KALTON AND T. KUCHERENKO, OPERATORS WITH AN ABSOLUTE (2014) (0)
INTERPOLATION OF OPERATORS (1990) (0)
Absolutely Summing Operators (2016) (0)
Important Examples of Banach Spaces (2016) (0)
FA ] 8 S ep 1 99 7 SPECTRAL CHARACTERIZATION OF SUMS OF COMMUTATORS II (1997) (0)
IN ) AND LIPSCHITZ ISOMORPHISMS (1999) (0)
An Introduction to Local Theory (2016) (0)
SOME OF THE CLASSICAL RESULTS (1984) (0)
SPECTRAL CHARACTERIZATIONOF SUMS OF COMMUTATORS IIK (1998) (0)
Greedy-Type Bases (2016) (0)
A remark on bases in quotients of when (1991) (0)
THE HAHN-BANACH EXTENSION PROPERTY (1984) (0)
Finite Representability of ℓ p -Spaces (2016) (0)
Banach Spaces of Continuous Functions (2016) (0)
UNCONDITIONALITY IN SPACES OFm-HOMOGENEOUS POLYNOMIALS (2005) (0)
UNCONDITIONALITY IN SPACES OFm-HOMOGENEOUS POLYNOMIALS (2005) (0)
A remark on the $H^\infty$-calculus (2007) (0)
Consequences of Convexity (2014) (0)
Polynomial approximation on convex subsets of $\mathbb R^n (1999) (0)
Banach spaces : proceedings of the Missouri conference held in Columbia, USA, June 24-29, 1984 (1985) (0)
Perfectly Homogeneous Bases and Their Applications (2016) (0)
Hilbert Space Theory (2014) (0)
OPERATORS BETWEEN Lp SPACES, 0 < p < 1 (1984) (0)
Spectral Theory in Banach Spaces and Harmonic Analysis (2004) (0)
Special Types of Bases (2016) (0)
SZLENK INDICES AND UNIFORM (2001) (0)
Examples of uniformly homeomorphic Banach spaces (2012) (0)
TRANSITIVE SPACES AND SMALL OPERATORS (1984) (0)
Embedding ln (infinito)- cubes in finite-dimensional 1-subsymmetric spaces (1989) (0)
THE RANGE OF OPERATORS ON (2002) (0)
Consequences of Completeness (2014) (0)
The Spaces L p for 1 ≤ p ∞ (2016) (0)
Norm Decreasing Homomorphisms Between Ideals of Lp (G) (1978) (0)
DECOMPOSITIONS OF BANACH LATTICES 779 { PXlly } j ° ° l (2009) (0)
Bases and Basic Sequences (2016) (0)
Convergence of greedy-type algorithms in banach spaces (2006) (0)
Nonlinear Geometry of Banach Spaces (2016) (0)
ON THE PAPER ’ ON THE EXISTENCE OF ALMOST GREEDY BASES IN BANACH SPACES ’ BY (2014) (0)
The uniform structure of Banach spaces (2011) (0)
Classical Banach Spaces and Their Duals (2014) (0)
INCLUSION THEOREMS FOR Z-SPACES (2007) (0)

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