Gilles Pisier

Q: What Schools Are Affiliated With Gilles Pisier

Gilles Pisier is affiliated with the following schools: Texas A&M University, Paris Diderot University

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Gilles Pisier

Mathematics

#1162

World Rank

#1954

Historical Rank

Functional Analysis

#15

World Rank

#23

Historical Rank

Measure Theory

#317

World Rank

#482

Historical Rank

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Mathematics

Why Is Gilles Pisier Influential?

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According to Wikipedia, Gilles I. Pisier is a professor of mathematics at the Pierre and Marie Curie University and a distinguished professor and A.G. and M.E. Owen Chair of Mathematics at the Texas A&M University. He is known for his contributions to several fields of mathematics, including functional analysis, probability theory, harmonic analysis, and operator theory. He has also made fundamental contributions to the theory of C*-algebras. Gilles is the younger brother of French actress Marie-France Pisier.

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Gilles Pisier'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

The volume of convex bodies and Banach space geometry (1989) (1105)
Introduction to Operator Space Theory (2003) (741)
Factorization of Linear Operators and Geometry of Banach Spaces (1986) (633)
Martingales with values in uniformly convex spaces (1975) (472)
Similarity problems and completely bounded maps (1995) (466)
Probabilistic methods in the geometry of Banach spaces (1986) (445)
Non-commutative vector valued Lp-spaces and completely p-summing maps (1993) (413)
The Law of Large Numbers and the Central Limit Theorem in Banach Spaces (1976) (286)
The operator Hilbert space OH, complex interpolation, and tensor norms (1996) (260)
Chapter 34 - Non-Commutative Lp-Spaces (2003) (255)
Non-commutative L p spaces (2003) (253)
Non-Commutative Martingale Inequalities (1997) (245)
Random Fourier Series with Applications to Harmonic Analysis. (1981) (243)
Non commutative Khintchine and Paley inequalities (1991) (242)
ASYMPTOTIC THEORY OF FINITE DIMENSIONAL NORMED SPACES (Lecture Notes in Mathematics 1200) (1987) (214)
Grothendieck's Theorem, past and present (2011) (197)
Holomorphic semi-groups and the geometry of Banach spaces (1982) (194)
Some results on Banach spaces without local unconditional structure (1978) (192)
Characterizations of almost surely continuousp-stable random Fourier series and strongly stationary processes (1984) (156)
Martingales in Banach Spaces (2016) (146)
Grothendieck's theorem for noncommutative C∗-algebras, with an Appendix on Grothendieck's constants (1978) (144)
A polynomially bounded operator on Hilbert space which is not similar to a contraction (1996) (132)
Counterexamples to a conjecture of Grothendieck (1983) (131)
RIESZ TRANSFORMS: A SIMPLER ANALYTIC PROOF OF P (1988) (119)
Some applications of the complex interpolation method to Banach lattices (1979) (112)
Bilinear forms on exact operator spaces andB(H)⊗B(H) (1995) (101)
Grothendieck’s theorem for operator spaces (2001) (97)
The strongp-variation of martingales and orthogonal series (1988) (92)
On the "Three space problem". (1975) (92)
A simple proof of a theorem of Kirchberg and related results on $C^*$-norms (1995) (92)
Factorization of Analytic Functions with Values in Non-Commutative L 1-spaces and Applications (1989) (80)
Some applications of the metric entropy condition to harmonic analysis (1983) (80)
Interpolation between Hp spaces and noncommutative generalizations. I (1992) (76)
Bounded linear operators between C^*-algebras (1993) (75)
Factorization of operators throughLp∞ orLp1 and non-commutative generalizations (1986) (74)
Banach spaces with a weak cotype 2 property (1986) (71)
Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts (2002) (70)
Random series in the real interpolation spaces between the spaces v p (1987) (69)
Grothendieck’s Theorem (1986) (68)
Bounded linear operators between $C^\ast$-algebras (1993) (66)
Weak Hilbert Spaces (1988) (64)
Projections from a von Neumann algebra onto a subalgebra (1993) (62)
Complex Interpolation between Hilbert, Banach and Operator spaces (2008) (60)
On the limit theorems for random variables with values in the spaces Lp (2≦p<∞) (1978) (58)
The similarity degree of an operator algebra (1997) (56)
Interpolation between $H^p$ Spaces and non-commutative generalizations, II (1991) (55)
Complex interpolation and regular operators between Banach lattices (1993) (50)
Multipliers and lacunary sets in non-amenable groups (1992) (49)
Exact operator spaces (1993) (48)
Factorization of operator valued analytic functions (1992) (48)
A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces (1983) (48)
The similarity degree of an operator algebra, II (1997) (42)
Tensor Products of C*-Algebras and Operator Spaces (2020) (42)
Arithmetic characterizations of Sidon sets (1983) (38)
Random matrices and subexponential operator spaces (2012) (38)
Completely bounded maps into certain Hilbertian operator spaces (2004) (34)
A new approach to several results of V. Milman. (1989) (31)
REMARKS ON THE SIMILARITY DEGREE OF AN OPERATOR ALGEBRA (2000) (31)
An inequality for $p$-orthogonal sums in non-commutative $L_{p}$ (1999) (30)
Regular operators between non-commutative $L_p$-spaces (1993) (28)
Are Unitarizable Groups Amenable (2004) (24)
The Operator Hilbert Space OH and Type III Von Neumann Algebras (2002) (24)
Bilinear forms on exact operator spaces and B(H)\otimes B(H) (1993) (24)
Quantum Expanders and Geometry of Operator Spaces (2012) (24)
On subgaussian random variables (2016) (23)
QUADRATIC FORMS IN UNITARY OPERATORS (1995) (23)
On the Dimension of the l n p -Subspaces of Banach Spaces, for 1 p < 2 (1983) (23)
Some results on the continuity of stable processes and the domain of attraction of continuous stable processes (1984) (23)
A Similarity Degree Characterization of Nuclear C ∗ -algebras (2004) (22)
Gaussian Processes and Mixed Volumes (1987) (22)
Remarks on complemented subspaces of von Neumann algebras (1991) (22)
The “maximal” tensor product of operator spaces (1997) (22)
Joint similarity problems and the generation of operator algebras with bounded length (1998) (22)
THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR $0 (2014) (20)
SIMILARITY PROBLEMS AND LENGTH (2000) (20)
Bilinear Forms on Exact Operator Spaces (1993) (20)
Non-commutative Khintchine type inequalities associated with free groups (2003) (19)
On the dimension of the ⁿ_{}-subspaces of Banach spaces, for 1≤<2 (1983) (19)
Remarks on the non-commutative Khintchine inequalities for 0 (2008) (18)
On the duality between type and cotype (1982) (18)
The dual J* of the James space has cotype 2 and the Gordon-Lewis property (1988) (16)
Subgaussian sequences in probability and Fourier analysis (2016) (15)
The volume of convex bodies and Banach space geometry: Frontmatter (1989) (15)
The Kt-Functional for the Interpolation Couple L1(A0), L∞(A1) (1993) (14)
On uniformly bounded orthonormal Sidon systems (2016) (14)
A remarkable homogeneous Banach algebra (1979) (14)
A simple proof of a theorem of Jean Bourgain (1991) (14)
The operator Hilbert space (2003) (13)
A non-nuclear $$C^*$$-algebra with the weak expectation property and the local lifting property (2019) (13)
Quotients of Banach spaces of cotype $q$ (1982) (13)
The Proportional Uap Characterizes Weak Hilbert Spaces (1990) (12)
Stochastic processes with sample paths in exponential Orlicz spaces (1985) (11)
Impossibility of Dimension Reduction in the Nuclear Norm (2017) (11)
ON THE METRIC ENTROPY OF THE BANACH–MAZUR COMPACTUM (2013) (10)
A CONTINUUM OF C*-NORMS ON ${\mathbb B}$(H) ⊗ ${\mathbb B}$(H) AND RELATED TENSOR PRODUCTS (2015) (8)
A Remark on Hypercontractive Semigroups and Operator Ideals (2007) (8)
On a linearization trick (2018) (7)
Simultaneous similarity, bounded generation and amenability (2005) (7)
Ideals in $$L(L_1)$$ (2018) (7)
The volume of convex bodies and Banach space geometry: Volume Ratio (1989) (7)
Necessary and sufficient conditions for the uniform convergenece of random trigonometric series (1978) (7)
Spectral Gap Properties of the Unitary Groups: Around Rider’s Results on Non-commutative Sidon Sets (2016) (6)
Stochastic approximation properties in Banach spaces (2003) (5)
Multipliers of the Hardy space H^1 and power bounded operators (2000) (5)
On a question of Niels Grønbaek (1999) (5)
THE Kt-FUNCTIONAL FOR THE INTERPOLATION COUPLE L∞(dμL1(dv)), L∞(dv; L1(dμ)) (1995) (4)
Random Series of Trace Class Operators (2011) (4)
Tripartite Bell inequality, random matrices and trilinear forms (2012) (4)
On Read’s Proof that Is Not Amenable (2004) (4)
Completely Sidon sets in discrete groups and $C^*$-algebras (2017) (4)
Real interpolation between row and column spaces (2011) (4)
Real interpolation and transposition of certain function spaces (2011) (3)
Completely Sidon sets in $$C^*$$C∗-algebras (2018) (3)
Completely Sidon sets in discrete groups (2020) (3)
Completely bounded maps (2001) (3)
On the lifting property for $C^*$-algebras (2020) (3)
The volume of convex bodies and Banach space geometry: Dvoretzky's Theorem (1989) (3)
Martingale inequalities and operator space structures on $L_p$ (2012) (2)
Remarks on a recent result by Paul Skoufranis (2012) (2)
A continuum of $\mathrm{C}^*$-norms on $\IB(H)\otimes \IB(H)$ and related tensor products (2014) (2)
On a Characterization of the Weak Expectation Property (WEP) (2019) (2)
Operator spaces with the WEP, the OLLP and the Gurarii property (2021) (2)
On the ``local theory'' of operator spaces (1992) (2)
Random fourier series on locally compact abelian groups (1979) (2)
Remarks on $B(H)\otimes B(H)$ (2005) (2)
Banach space valued H1 and BMO (2016) (1)
Remembering Jean Bourgain (1954–2018) (2021) (1)
On a question of Niels Gr\o nbaek (1999) (1)
Quantum expanders and growth of group representations (2015) (1)
INDEX OF TERMINOLOGY (1982) (1)
Noncommutative Lp spaces , Operator spaces and Applications (2010) (1)
Ideals in $L(L_1)$ (2018) (1)
The K_t-functional for the interpolation couple L_1(A_0),L_infinity(A_1) (1991) (1)
Banach Spaces Satisfying Grothendieck’s Theorem (1986) (1)
Strong convergence for reduced free products (2016) (1)
Seemingly Injective Von Neumann Algebras (2020) (1)
On the Dixmier problem (Seminar report after Monod-Ozawa, JFA 2010) (2011) (1)
PROJECTIONS FROM A VON NEUMANN ALGEBRA (1995) (1)
A Note on Sidon Sets in Bounded Orthonormal Systems (2017) (1)
ON THE DIMENSION OF THE Ç-SUBSPACES OF BANACH SPACES , FOR 1 < p < 2 (2009) (1)
Completely co-bounded Schur multipliers (2011) (1)
Preliminary Results and Background (1986) (1)
Weak Type 2 (1989) (1)
Examples and comments (2003) (1)
Random matrices and subexponential operator spaces (2014) (1)
Spaces and Non-commutative Generalizations Ii* (1993) (1)
Local theory of operator spaces. Nonseparability of OSn (2003) (0)
THE SIMILARITY DEGREE OF AN OPERATOR ALGEBRA by Gilles Pisier (1997) (0)
FA ] 1 0 M ar 2 01 1 Completely co-bounded Schur multipliers by (2013) (0)
O A ] 2 6 N ov 2 02 1 On the Lifting Property for C ∗-algebras by (2021) (0)
An invitation to martingales in non-commutative Lp-spaces* (2016) (0)
Entropy, Approximation Numbers, and Gaussian Processes (1989) (0)
Examples of non exact 1-subexponential $C^*$-algebras (2012) (0)
Kirchberg's theorem on decomposable maps (2003) (0)
The volume of convex bodies and Banach space geometry: Introduction (1989) (0)
Nuclearity and approximation properties (2003) (0)
Mini-Workshop: Operator Spaces and Noncommutative Geometry in Interaction (2016) (0)
Some Examples: The Tsirelson Spaces (1989) (0)
First Brazilian Workshop in Geometry of Banach Spaces (2014) (0)
The volume of convex bodies and Banach space geometry: Milman's Ellipsoids (1989) (0)
Chapter 33 - Operator Spaces (2003) (0)
The minimal tensor product. Ruan's theorem. Basic operations (2003) (0)
Random unitaries, amenable linear groups and Jordan's theorem (2017) (0)
Banach space valued martingales (2016) (0)
Absolutely Summing Operators and Basic Applications (1986) (0)
Minimal and maximal operator space structures (2003) (0)
Introduction to Operator Space Theory: Completely bounded maps (2003) (0)
The Hilbert transform and UMD Banach spaces (2016) (0)
9. The Sz.-Nagy-Halmos similarity problem (2001) (0)
CHAPTER VII: ADDITIONAL RESULTS AND COMMENTS (1982) (0)
The Weak Expectation Property (WEP) (2003) (0)
Completely isomorphic C*-algebras (2003) (0)
The UMD property for Banach spaces (2016) (0)
Harmonic functions and RNP (2016) (0)
Interpolation between strong p-variation spaces (2016) (0)
The volume of convex bodies and Banach space geometry: Weak Cotype 2 (1989) (0)
INDEX OF NOTATIONS (1982) (0)
CHAPTER II: PRELIMINARIES (1982) (0)
The strong p-variation of scalar valued martingales (2016) (0)
CHAPTER III: RANDOM FOURIER SERIES ON LOCALLY COMPACT ABELIAN GROUPS (1982) (0)
The lifting property for $C^*$-algebras : from local to global ? (2023) (0)
Subject and Notation Index (2001) (0)
Factorization through a Hilbert Space (1986) (0)
Grothendieck's Theorem, past and present UNCUT updated and still expanding... (2015) (0)
8. Completely bounded maps in the Banach space setting (2001) (0)
Erratum to: Seemingly Injective Von Neumann Algebras (2022) (0)
C*-norms on tensor products. Decomposable maps. Nuclearity (2003) (0)
The “Abstract” Version of Grothendieck’s Theorem (1986) (0)
5. Schur multipliers and Grothendieck’s inequality (2001) (0)
Real interpolation and transposition of certain function spaces (2011) (0)
Type and Cotype. Kwapień’s Theorem (1986) (0)
Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information (2019) (0)
Solutions to the Exercises (2003) (0)
Characterization of two parameter matrix-valued BMO by commutator with the Hilbert transform (2018) (0)
O A ] 3 O ct 2 02 0 On the Lifting Property for C ∗-algebras by (2020) (0)
Joran Lindenstrauss, in Memoriam (2015) (0)
CHAPTER V: RANDOM FOURIER SERIES ON COMPACT NON-ABELIAN GROUPS (1982) (0)
Remembrances of Edward G. Effros (2020) (0)
The volume of convex bodies and Banach space geometry: Notation and Preliminary Background (1989) (0)
Applications of the Volume Ratio Method (1986) (0)
Projective tensor product (2003) (0)
A Note on Sidon Sets in Bounded Orthonormal Systems (2018) (0)
Erratum to: Seemingly Injective Von Neumann Algebras (2022) (0)
1. Von Neumann’s inequality and Ando’s generalization (2001) (0)
0. Introduction. Description of contents (2001) (0)
Analytic functions and ARNP (2016) (0)
N ov 2 01 9 Ideals in L ( L 1 ) ∗ (2019) (0)
Strong convergence for reduced free products (Remarks on a result by Paul Skoufranis) (2012) (0)
C*-algebras of discrete groups (2020) (0)
Quantum Expanders and Geometry of Operator Spaces II (2012) (0)
7. The similarity problem for cyclic homomorphisms on a C*-algebra (2001) (0)
§1. Operators between C ∗-algebras. §2. Description of E k n. (1993) (0)
The Halmos Similarity Problem (2010) (0)
Completely bounded maps in the Banach space setting Summary (0)
The Haagerup tensor product (2003) (0)
The k_t--functional for the interpolation couple L^\infty(d\mu;L^1(d\nu)), L^\infty(d\nu;L^1(d\mu)) (1993) (0)
Group C*-algebras. Universal algebras and unitization for an operator space (2003) (0)
10. The Kadison Similarity Problem (2001) (0)
Description of the contents (2016) (0)
Interpolation and Fatou-Zygmund property for completely Sidon subsets of discrete groups (2017) (0)
Maximal tensor products and free products of operator algebras (2003) (0)
Interpolation methods (complex and real) (2016) (0)
CHAPTER IV: THE CENTRAL LIMIT THEOREM AND RELATED QUESTIONS (1982) (0)
The volume of convex bodies and Banach space geometry: Ellipsoids (1989) (0)
Martingales and metric spaces (2016) (0)
Estimating the norms of sums of unitaries: Ramanujan graphs, property T, random matrices (2003) (0)
Uniformly convex Banach space valued martingales (2016) (0)
Introduction to Operator Space Theory: Introduction (2003) (0)
2. Non-unitarizable uniformly bounded group representations (2001) (0)
The volume of convex bodies and Banach space geometry: Another Proof of the QS Theorem (1989) (0)
Counterexamples to Grothendieck’s Conjecture (1986) (0)
4. Completely bounded homomorphisms and derivations (2001) (0)
Introduction to Operator Space Theory: Injective and projective operator spaces (2003) (0)
Impossibility of Dimension Reduction in the Nuclear Norm (2019) (0)
Characterizations of operator algebras (2003) (0)
6. Hankelian Schur multipliers. Herz-Schur multipliers (2001) (0)
Laurent Schwartz (1915–2002), Volume 50, Number 9 (2003) (0)
The volume of convex bodies and Banach space geometry: Gaussian Variables. K -Convexity (1989) (0)
O A ] 1 0 D ec 2 00 4 Are Unitarizable Groups Amenable ? by (2022) (0)
Completely Sidon sets in $C^*$-algebras (New title) (2017) (0)
The Blecher-Paulsen factorization. Infinite Haagerup tensor products (2003) (0)
FA ] 3 J un 1 99 1 A simple proof of a theorem of (2022) (0)
CHAPTER VI: APPLICATIONS TO HARMONIC ANALYSIS (1982) (0)
The Local Lifting Property (LLP) (2003) (0)

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