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Pisier, Gilles

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Author ID: pisier.gilles Recent zbMATH articles by "Pisier, Gilles"
Published as: Pisier, Gilles; Pisier, G.
Homepage: https://webusers.imj-prg.fr/~gilles.pisier/
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
Documents Indexed: 187 Publications since 1973, including 15 Books
6 Contributions as Editor
2 Further Contributions
Reviewing Activity: 26 Reviews
all top 5

Co-Authors

143 single-authored
8 Maurey, Bernard
7 Marcus, Michael B.
6 Xu, Quanhua
4 Johnson, William Buhmann
4 Milman, Vitali D.
4 Schechtman, Gideon
3 Beauzamy, Bernard
3 Naor, Assaf
2 Bourgain, Jean
2 Haagerup, Uffe Valentin
2 Junge, Marius
2 Kupin, Stanislas
2 Lindenstrauss, Elon
2 Preiss, David
2 Shlyakhtenko, Dimitri L.
2 Zinn, Joel
1 Benyamini, Yoav
1 Borichev, Aleksandr Aleksandrovich
1 Choi, Man-Duen
1 Dadarlat, Marius
1 Daubechies, Ingrid Chantal
1 Davidson, Kenneth R.
1 Delbaen, Freddy
1 Effros, Rita Brickman
1 Enflo, Per H.
1 Figiel, Tadeusz
1 Fonf, Vladimir P.
1 Franz, Uwe
1 Ghoussoub, Nassif A.
1 Guerre-Delabriere, Sylvie
1 Gupta, Ved Prakash
1 Guth, Lawrence David
1 Hartmann, Andreas
1 Heß, Albrecht
1 Hoffmann-Jørgensen, Jørgen
1 Jaming, Philippe
1 Jitomirskaya, Svetlana Yakovlevna
1 Jørgensen, Palle E. T.
1 Kaminker, Jerome
1 Kellay, Karim
1 Kontorovich, Alex V.
1 Krivine, Jean-Louis
1 Lindenstrauss, Ayelet
1 Lindenstrauss, Joram
1 Lust-Piquard, Françoise
1 Mandayam, Prabha
1 Nazarov, Fedor L.
1 Oikhberg, Timur
1 Ozawa, Narutaka
1 Parcet, Javier
1 Parthasarathy, Kalyanapuram Rangachari
1 Paulsen, Vern Ival
1 Popa, Sorin Teodor
1 Powers, Robert T.
1 Ricard, Éric
1 Rosenberg, Jonathan Micah
1 Ruan, Zhongjin
1 Rudnick, Zeév
1 Sarnak, Peter Clive
1 Schlag, Wilhelm
1 Schochet, Claude L.
1 Shultz, Fred
1 Staffilani, Gigliola
1 Sunder, Viakalathur S.
1 Szankowski, Andrzej
1 Takesaki, Masamichi
1 Tao, Terence
1 Timotin, Dan
1 Treil, Sergei
1 Trèves, François
1 Varjú, Péter Pál
1 Vasilescu, Florian-Horia
1 Vasyunin, Vasiliĭ Ivanovich
1 Voiculescu, Dan-Virgil
1 Volberg, Alexander Lvovich
1 Winter, Andreas
1 Yor, Marc
1 Zarrabi, Mohamed
all top 5

Serials

12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
11 Comptes Rendus de l’Académie des Sciences. Série I
4 Israel Journal of Mathematics
4 Notices of the American Mathematical Society
2 Studia Mathematica
2 Acta Mathematica
2 The Annals of Probability
2 Indiana University Mathematics Journal
2 Inventiones Mathematicae
2 Journal of Functional Analysis
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Bulletin of the American Mathematical Society. New Series
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Documenta Mathematica
2 Cambridge Tracts in Mathematics
2 Lecture Notes in Mathematics
2 Theta Series in Advanced Mathematics
1 Communications in Mathematical Physics
1 Houston Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Arkiv för Matematik
1 Advances in Mathematics
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Boletim da Sociedade Brasileira de Matemática
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Integral Equations and Operator Theory
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Mathematica Scandinavica
1 Mathematische Zeitschrift
1 Mathematika
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Tohoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Journal of Operator Theory
1 Probability Theory and Related Fields
1 Discrete & Computational Geometry
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 L’Enseignement Mathématique. 2e Série
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 St. Petersburg Mathematical Journal
1 Mathematical Research Letters
1 Bulletin des Sciences Mathématiques
1 The Journal of Fourier Analysis and Applications
1 Taiwanese Journal of Mathematics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Revista Matemática Complutense
1 Annals of Mathematics. Second Series
1 Mathematical Proceedings of the Royal Irish Academy
1 Journal of the European Mathematical Society (JEMS)
1 La Gaceta de la Real Sociedad Matemática Española
1 Journal of the Institute of Mathematics of Jussieu
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Oberwolfach Reports
1 Annals of Mathematics Studies
1 Astérisque
1 Cambridge Studies in Advanced Mathematics
1 Lecture Notes in Physics
1 Lecture Notes Series. Aarhus University
1 London Mathematical Society Lecture Note Series
1 London Mathematical Society Student Texts
1 Regional Conference Series in Mathematics
1 SMF Journée Annuelle
1 Operators and Matrices

Publications by Year

Citations contained in zbMATH Open

152 Publications have been cited 3,631 times in 2,363 Documents Cited by Year
The volume of convex bodies and Banach space geometry. Zbl 0698.46008
Pisier, Gilles
324
1989
Introduction to operator space theory. Zbl 1093.46001
Pisier, Gilles
249
2003
Non-commutative \(L^p\)-spaces. Zbl 1046.46048
Pisier, Gilles; Xu, Quanhua
209
2003
Martingales with values in uniformly convex spaces. Zbl 0344.46030
Pisier, Gilles
188
1975
Series de variables aléatoires vectorielles independantes et propriétés geométriques des espaces de Banach. Zbl 0344.47014
Maurey, Bernard; Pisier, Gilles
178
1976
Factorization of linear operators and geometry of Banach spaces. Zbl 0588.46010
Pisier, Gilles
153
1986
The law of large numbers and the central limit theorem in Banach spaces. Zbl 0368.60022
Hoffmann-Jørgensen, Jørgen; Pisier, G.
126
1976
Non-commutative vector valued \(L_p\)-spaces and completely \(p\)-summing maps. Zbl 0937.46056
Pisier, Gilles
114
1998
Non-commutative martingale inequalities. Zbl 0898.46056
Pisier, Gilles; Xu, Quanhua
89
1997
Non commutative Khintchine and Paley inequalities. Zbl 0755.47029
Lust-Piquard, Françoise; Pisier, Gilles
81
1991
Random Fourier series with applications to harmonic analysis. Zbl 0474.43004
Marcus, Michael B.; Pisier, Gilles
78
1981
The operator Hilbert space \(OH\), complex interpolation and tensor norms. Zbl 0932.46046
Pisier, Gilles
76
1996
Holomorphic semi-groups and the geometry of Banach spaces. Zbl 0487.46008
Pisier, Gilles
66
1982
Grothendieck’s theorem, past and present. Zbl 1244.46006
Pisier, Gilles
62
2012
Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Zbl 0547.60047
Marcus, M. B.; Pisier, G.
59
1984
Martingales in Banach spaces. Zbl 1382.46002
Pisier, Gilles
55
2016
Some results on Banach spaces without local unconditional structure. Zbl 0381.46010
Pisier, Gilles
53
1978
Grothendieck’s theorem for noncommutative \(C^*\)-algebras, with an appendix on Grothendieck’s constants. Zbl 0388.46043
Pisier, Gilles
52
1978
Counterexamples to a conjecture of Grothendieck. Zbl 0542.46038
Pisier, Gilles
51
1983
Similarity problems and completely bounded maps. Zbl 0843.47010
Pisier, Gilles
47
1995
Similarity problems and completely bounded maps. Includes the solution to “The Halmos problem”. 2nd, expanded ed. Zbl 0971.47016
Pisier, Gilles
43
2001
A polynomially bounded operator on Hilbert space which is not similar to a contraction. Zbl 0869.47014
Pisier, Gilles
42
1997
Some applications of the complex interpolation method to Banach lattices. Zbl 0427.46048
Pisier, G.
40
1979
On the ’three space problem’. Zbl 0314.46015
Enflo, Per; Lindenstrauss, Joram; Pisier, Gilles
39
1975
Probabilistic methods in the geometry of Banach spaces. Zbl 0606.60008
Pisier, Gilles
39
1986
Grothendieck’s theorem for operator spaces. Zbl 1033.46044
Pisier, Gilles; Shlyakhtenko, Dimitri
38
2002
Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations. Zbl 0619.47016
Pisier, Gilles
38
1986
Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\). Zbl 0832.46052
Junge, M.; Pisier, G.
37
1995
The strong p-variation of martingales and orthogonal series. Zbl 0632.60004
Pisier, Gilles; Xu, Quanhua
31
1988
A construction of \({\mathcal L}_{\infty}\)-spaces and related Banach spaces. Zbl 0586.46011
Bourgain, Jean; Pisier, Gilles
31
1983
Interpolation between \(H^ p\) spaces and non-commutative generalizations. I. Zbl 0747.46050
Pisier, Gilles
31
1992
Bounded linear operators between \(C^*\)-algebras. Zbl 0803.46064
Haagerup, Uffe; Pisier, Gilles
28
1993
Riesz transforms: A simpler analytic proof of P. A. Meyer’s inequality. Zbl 0645.60061
Pisier, Gilles
27
1988
Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert. Zbl 0436.47013
Pisier, G.
27
1980
Weak Hilbert spaces. Zbl 0666.46009
Pisier, Gilles
26
1988
Remarques sur un résultat non publie de B. Maurey. Zbl 0491.46017
Pisier, G.
26
1981
Series aléatoires dans les espaces uniformement convexes ou uniformement lisses. Zbl 0326.46007
Figiel, Tadeusz; Pisier, Gilles
23
1974
The volume of convex bodies and Banach space geometry. Zbl 0933.46013
Pisier, Gilles
22
1999
Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006
Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A.
22
2002
On the limit theorems for random variables with values in the spaces \(L_p\;(2\leq p<\infty)\). Zbl 0364.60031
Pisier, Gilles; Zinn, Joel
22
1978
Factorization of analytic functions with values in non-commutative \(L_1\)-spaces and applications. Zbl 0821.46074
Haagerup, Uffe; Pisier, Gilles
21
1989
Sur les espaces de Banach qui ne contiennent pas uniformement de \(l^1_n\). Zbl 0271.46011
Pisier, Gilles
21
1973
Completely bounded maps between sets of Banach space operators. Zbl 0747.46015
Pisier, Gilles
18
1990
Exact operator spaces. Zbl 0844.46031
Pisier, Gilles
18
1995
Banach spaces with a weak cotype 2 property. Zbl 0611.46022
Milman, Vitali D.; Pisier, Gilles
18
1986
Complex interpolation between Hilbert, Banach and operator spaces. Zbl 1213.46002
Pisier, Gilles
16
2010
Factorization of operator valued analytic functions. Zbl 0791.47015
Pisier, Gilles
15
1992
A simple proof of a theorem of Kirchberg and related results on \(C^*\)-norms. Zbl 0858.46045
Pisier, Gilles
15
1996
A new approach to several results of V. Milman. Zbl 0692.46006
Pisier, Gilles
15
1989
Multipliers and lacunary sets in non-amenable groups. Zbl 0853.43008
Pisier, Gilles
14
1995
Complex interpolation and regular operators between Banach lattices. Zbl 0991.46007
Pisier, Gilles
14
1994
De nouvelles caractérisations des ensembles de Sidon. Zbl 0468.43008
Pisier, Gilles
14
1981
Une nouvelle classe d’espace de Banach vérifiant le théorème de Grothendieck. Zbl 0363.46019
Pisier, Gilles
14
1978
Remarks on the similarity degree of an operator algebra. Zbl 1112.46309
Pisier, Gilles
13
2001
Some applications of the metric entropy condition to harmonic analysis. Zbl 0517.60043
Pisier, Gilles
13
1983
Une propriété de stabilité de la classe des espaces ne contenant pas \(\ell^1\). Zbl 0373.46033
Pisier, Gilles
13
1978
Completely bounded maps into certain Hilbertian operator spaces. Zbl 1079.46041
Pisier, Gilles
12
2004
Gaussian processes and mixed volumes. Zbl 0636.60036
Milman, V. D.; Pisier, G.
12
1987
Type des espaces normes. Zbl 0257.46015
Pisier, Gilles
12
1973
On the dimension of the \(l_ p^ n\)-subspaces of Banach spaces, for \(1 \leq p < 2\). Zbl 0509.46016
Pisier, Gilles
12
1983
Quantum Banach spaces: An introduction to the theory of operators spaces. (Espaces de Banach quantiques: Une introduction à la théorie des espaces d’opérateurs.) Zbl 0947.46039
Pisier, Gilles
11
1994
Joint similarity problems and the generation of operator algebras with bounded length. Zbl 0932.47015
Pisier, Gilles
10
1998
Projections from a von Neumann algebra onto a subalgebra. Zbl 0820.46058
Pisier, Gilles
10
1995
Some results on the continuity of stable processes and the domain of attraction of continuous stable processes. Zbl 0536.60048
Marcus, M. B.; Pisier, G.
10
1984
Are unitarizable groups amenable? Zbl 1113.43001
Pisier, Gilles
10
2005
The similarity degree of an operator algebra. Zbl 0911.47038
Pisier, G.
9
1998
Non-commutative Khintchine type inequalities associated with free groups. Zbl 1091.46035
Parcet, Javier; Pisier, Gilles
9
2005
Arithmetic characterizations of Sidon sets. Zbl 0505.43002
Pisier, Gilles
9
1983
Caractérisation d’une classe d’espaces de Banach par des propriétés de séries aléatoires vectorielles. Zbl 0269.46015
Maurey, Bernard; Pisier, Gilles
9
1973
Ensembles de Sidon et processus gaussiens. Zbl 0374.43003
Pisier, Gilles
9
1978
Les inégalités de Khintchine-Kahane d’apres C. Borell. Zbl 0388.60013
Pisier, G.
9
1978
A similarity degree characterization of nuclear \(C^*\)-algebras. Zbl 1114.46044
Pisier, Gilles
9
2006
Regular operators between non-commutative \(L_ p\)-spaces. Zbl 0826.46056
Pisier, Gilles
8
1995
Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. (Suite et fin). Zbl 0403.60012
Pisier, G.
8
1976
The functional analysis of quantum information theory. A collection of notes based on lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter. Zbl 1431.81007
Gupta, Ved Prakash; Mandayam, Prabha; Sunder, V. S.
8
2015
Remarks on complemented subspaces of von Neumann algebras. Zbl 0774.46032
Pisier, G.
7
1992
The “maximal” tensor product of operator spaces. Zbl 0940.46042
Oikhberg, Timur; Pisier, Gilles
7
1999
An inequality for \(p\)-orthogonal sums in non-commutative \(L_p\). Zbl 0976.60016
Pisier, Gilles
7
2000
Ideals in \(L(L_1)\). Zbl 07159967
Johnson, W. B.; Pisier, G.; Schechtman, G.
7
2020
The operator Hilbert space OH and type III von Neumann algebras. Zbl 1068.46034
Pisier, Gilles
7
2004
The operator Hilbert space and complex interpolation. (Espace de Hilbert d’opérateurs et interpolation complexe.) Zbl 0803.47039
Pisier, Gilles
6
1993
Interpolation between \(H^ p\) spaces and non-commutative generalizations. II. Zbl 0788.46071
Pisier, Gilles
6
1993
The non-commutative Khintchine inequalities for \(0<p<1\). Zbl 1385.46045
Pisier, Gilles; Ricard, Éric
6
2017
Tensor products of \(C^*\)-algebras and operator spaces. The Connes-Kirchberg problem. Zbl 1453.46002
Pisier, Gilles
6
2020
Un théorème d’extrapolation et ses consequences. Zbl 0258.46031
Maurey, Bernard; Pisier, Gilles
6
1973
Remarks on the non-commutative Khintchine inequalities for \(0<p<2\). Zbl 1217.46042
Pisier, Gilles
6
2009
A remark on \({\Pi{}}_ 2(l_ p,l_ p)\). Zbl 0735.47026
Pisier, Gilles
5
1990
The proportional UAP characterizes weak Hilbert spaces. Zbl 0758.46024
Johnson, W. B.; Pisier, G.
5
1991
Quadratic forms in unitary operators. Zbl 0889.47007
Pisier, Gilles
5
1997
A simple proof of a theorem of Jean Bourgain. Zbl 0787.47021
Pisier, G.
5
1992
Quotients of Banach spaces of cotype q. Zbl 0487.46006
Pisier, Gilles
5
1982
Martingales à valeurs dans les espaces uniformement convexes. Zbl 0291.46009
Pisier, Gilles
5
1974
Un exemple concernant la super-reflexivité. Zbl 0315.46022
Pisier, G.
5
1975
Necessary and sufficient conditions for the uniform convergence of random trigonometric series. Zbl 0409.60036
Marcus, M. B.; Pisier, G.
5
1978
Quantum expanders and geometry of operator spaces. Zbl 1307.46045
Pisier, Gilles
5
2014
Similarity problems and length. Zbl 0999.46025
Pisier, Gilles
4
2001
The similarity degree of an operator algebra. II. Zbl 0949.47055
Pisier, Gilles
4
2000
On uniformly bounded orthonormal Sidon systems. Zbl 1385.43001
Pisier, Gilles
4
2017
Random series in the real interpolation spaces between the spaces \(v_ p\). Zbl 0634.46009
Pisier, Gilles; Xu, Quanhua
4
1987
The dual \(J^ *\) of the James space has cotype 2 and the Gordon-Lewis property. Zbl 0649.46022
Pisier, Gilles
4
1988
Ideals in \(L(L_1)\). Zbl 07159967
Johnson, W. B.; Pisier, G.; Schechtman, G.
7
2020
Tensor products of \(C^*\)-algebras and operator spaces. The Connes-Kirchberg problem. Zbl 1453.46002
Pisier, Gilles
6
2020
A non-nuclear \(C^*\)-algebra with the weak expectation property and the local lifting property. Zbl 1465.46053
Pisier, Gilles
1
2020
Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036
Naor, Assaf; Pisier, Gilles; Schechtman, Gideon
2
2018
The non-commutative Khintchine inequalities for \(0<p<1\). Zbl 1385.46045
Pisier, Gilles; Ricard, Éric
6
2017
On uniformly bounded orthonormal Sidon systems. Zbl 1385.43001
Pisier, Gilles
4
2017
Martingales in Banach spaces. Zbl 1382.46002
Pisier, Gilles
55
2016
A continuum of \(C^\ast\)-norms on \(\mathbb{B}(H)\otimes\mathbb{B}(H)\) and related tensor products. Zbl 1408.46051
Ozawa, Narutaka; Pisier, Gilles
2
2016
The functional analysis of quantum information theory. A collection of notes based on lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter. Zbl 1431.81007
Gupta, Ved Prakash; Mandayam, Prabha; Sunder, V. S.
8
2015
On the metric entropy of the Banach-Mazur compactum. Zbl 1320.46013
Pisier, Gilles
3
2015
Quantum expanders and geometry of operator spaces. Zbl 1307.46045
Pisier, Gilles
5
2014
Martingale inequalities and operator space structures on \(L_p\). Zbl 1330.46054
Pisier, Gilles
1
2014
Grothendieck’s theorem, past and present. Zbl 1244.46006
Pisier, Gilles
62
2012
Completely co-bounded Schur multipliers. Zbl 1268.46037
Pisier, Gilles
1
2012
Real interpolation between row and column spaces. Zbl 1245.46047
Pisier, Gilles
3
2011
Complex interpolation between Hilbert, Banach and operator spaces. Zbl 1213.46002
Pisier, Gilles
16
2010
Remarks on the non-commutative Khintchine inequalities for \(0<p<2\). Zbl 1217.46042
Pisier, Gilles
6
2009
Simultaneous similarity, bounded generation and amenability. Zbl 1160.46037
Pisier, Gilles
4
2007
A similarity degree characterization of nuclear \(C^*\)-algebras. Zbl 1114.46044
Pisier, Gilles
9
2006
Remarks on \(B(H)\otimes B(H)\). Zbl 1116.46048
Pisier, Gilles
4
2006
Are unitarizable groups amenable? Zbl 1113.43001
Pisier, Gilles
10
2005
Non-commutative Khintchine type inequalities associated with free groups. Zbl 1091.46035
Parcet, Javier; Pisier, Gilles
9
2005
Completely bounded maps into certain Hilbertian operator spaces. Zbl 1079.46041
Pisier, Gilles
12
2004
The operator Hilbert space OH and type III von Neumann algebras. Zbl 1068.46034
Pisier, Gilles
7
2004
On Read’s proof that \(B(\ell_1)\) is not amenable. Zbl 1072.46032
Pisier, G.
2
2004
Introduction to operator space theory. Zbl 1093.46001
Pisier, Gilles
249
2003
Non-commutative \(L^p\)-spaces. Zbl 1046.46048
Pisier, Gilles; Xu, Quanhua
209
2003
Stochastic approximation properties in Banach spaces. Zbl 1059.46017
Fonf, V. P.; Johnson, W. B.; Pisier, G.; Preiss, D.
3
2003
Laurent Schwartz (1915–2002). Zbl 1159.01350
Treves, François; Pisier, Gilles; Yor, Marc
1
2003
Operator spaces. Zbl 1041.46042
Pisier, Gilles
1
2003
Grothendieck’s theorem for operator spaces. Zbl 1033.46044
Pisier, Gilles; Shlyakhtenko, Dimitri
38
2002
Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006
Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A.
22
2002
Similarity problems and completely bounded maps. Includes the solution to “The Halmos problem”. 2nd, expanded ed. Zbl 0971.47016
Pisier, Gilles
43
2001
Remarks on the similarity degree of an operator algebra. Zbl 1112.46309
Pisier, Gilles
13
2001
Similarity problems and length. Zbl 0999.46025
Pisier, Gilles
4
2001
An inequality for \(p\)-orthogonal sums in non-commutative \(L_p\). Zbl 0976.60016
Pisier, Gilles
7
2000
The similarity degree of an operator algebra. II. Zbl 0949.47055
Pisier, Gilles
4
2000
On a question of Niels Grønbaek. Zbl 0977.46006
Pisier, Gilles
1
2000
The volume of convex bodies and Banach space geometry. Zbl 0933.46013
Pisier, Gilles
22
1999
The “maximal” tensor product of operator spaces. Zbl 0940.46042
Oikhberg, Timur; Pisier, Gilles
7
1999
Non-commutative vector valued \(L_p\)-spaces and completely \(p\)-summing maps. Zbl 0937.46056
Pisier, Gilles
114
1998
Joint similarity problems and the generation of operator algebras with bounded length. Zbl 0932.47015
Pisier, Gilles
10
1998
The similarity degree of an operator algebra. Zbl 0911.47038
Pisier, G.
9
1998
Non-commutative martingale inequalities. Zbl 0898.46056
Pisier, Gilles; Xu, Quanhua
89
1997
A polynomially bounded operator on Hilbert space which is not similar to a contraction. Zbl 0869.47014
Pisier, Gilles
42
1997
Quadratic forms in unitary operators. Zbl 0889.47007
Pisier, Gilles
5
1997
The degree of similarity of an operator algebra. (Le degré de similarité d’une algèbre d’opérateurs.) Zbl 0884.46036
Pisier, Gilles
4
1997
The operator Hilbert space \(OH\), complex interpolation and tensor norms. Zbl 0932.46046
Pisier, Gilles
76
1996
A simple proof of a theorem of Kirchberg and related results on \(C^*\)-norms. Zbl 0858.46045
Pisier, Gilles
15
1996
Non-commutative martingale inequalities. (Inégalités de martingales non commutatives.) Zbl 0865.60036
Pisier, Gilles; Xu, Quanhua
2
1996
A polynomially bounded operator on a Hilbert space which is not similar to a contraction. (Un opérateur polynomialement borné sur un Hilbert qui n’est pas semblable à une contraction.) Zbl 0853.47014
Pisier, Gilles
2
1996
Dvoretzky’s theorem for operator spaces. Zbl 0860.47029
Pisier, Gilles
1
1996
Similarity problems and completely bounded maps. Zbl 0843.47010
Pisier, Gilles
47
1995
Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\). Zbl 0832.46052
Junge, M.; Pisier, G.
37
1995
Exact operator spaces. Zbl 0844.46031
Pisier, Gilles
18
1995
Multipliers and lacunary sets in non-amenable groups. Zbl 0853.43008
Pisier, Gilles
14
1995
Projections from a von Neumann algebra onto a subalgebra. Zbl 0820.46058
Pisier, Gilles
10
1995
Regular operators between non-commutative \(L_ p\)-spaces. Zbl 0826.46056
Pisier, Gilles
8
1995
The \(K_t\)-functional for the interpolation couple \(L^\infty (d\mu ; L^1(d\nu))\), \(L^\infty(d\nu ; L^1(d\mu))\). Zbl 0902.46049
Heß, Albrecht; Pisier, Gilles
2
1995
Complex interpolation and regular operators between Banach lattices. Zbl 0991.46007
Pisier, Gilles
14
1994
Quantum Banach spaces: An introduction to the theory of operators spaces. (Espaces de Banach quantiques: Une introduction à la théorie des espaces d’opérateurs.) Zbl 0947.46039
Pisier, Gilles
11
1994
Bounded linear operators between \(C^*\)-algebras. Zbl 0803.46064
Haagerup, Uffe; Pisier, Gilles
28
1993
The operator Hilbert space and complex interpolation. (Espace de Hilbert d’opérateurs et interpolation complexe.) Zbl 0803.47039
Pisier, Gilles
6
1993
Interpolation between \(H^ p\) spaces and non-commutative generalizations. II. Zbl 0788.46071
Pisier, Gilles
6
1993
The \(K_ t\)-functional for the interpolation couple \(L_ 1(A_ 0), L_{\infty}(A_ 1)\). Zbl 0791.46014
Pisier, Gilles
3
1993
Noncommutative vector valued \(L_ p\)- spaces and completely \(p\)-summing maps. (Espaces \(L_ p\) non commutatifs à valeurs vectorielles et applications complètement \(p\)-sommantes.) Zbl 0787.46053
Pisier, Gilles
3
1993
Operators factorizable through OH. (Sur les opérateurs factorisables par OH.) Zbl 0803.47040
Pisier, Gilles
2
1993
Interpolation between \(H^ p\) spaces and non-commutative generalizations. I. Zbl 0747.46050
Pisier, Gilles
31
1992
Factorization of operator valued analytic functions. Zbl 0791.47015
Pisier, Gilles
15
1992
Remarks on complemented subspaces of von Neumann algebras. Zbl 0774.46032
Pisier, G.
7
1992
A simple proof of a theorem of Jean Bourgain. Zbl 0787.47021
Pisier, G.
5
1992
Multipliers and lacunary sets in non amenable groups. (Multiplicateurs et ensembles lacunaires dans les groupes non moyennables.) Zbl 0779.43002
Pisier, Gilles
2
1992
Non commutative Khintchine and Paley inequalities. Zbl 0755.47029
Lust-Piquard, Françoise; Pisier, Gilles
81
1991
The proportional UAP characterizes weak Hilbert spaces. Zbl 0758.46024
Johnson, W. B.; Pisier, G.
5
1991
Completely bounded maps between sets of Banach space operators. Zbl 0747.46015
Pisier, Gilles
18
1990
A remark on \({\Pi{}}_ 2(l_ p,l_ p)\). Zbl 0735.47026
Pisier, Gilles
5
1990
The volume of convex bodies and Banach space geometry. Zbl 0698.46008
Pisier, Gilles
324
1989
Factorization of analytic functions with values in non-commutative \(L_1\)-spaces and applications. Zbl 0821.46074
Haagerup, Uffe; Pisier, Gilles
21
1989
A new approach to several results of V. Milman. Zbl 0692.46006
Pisier, Gilles
15
1989
The strong p-variation of martingales and orthogonal series. Zbl 0632.60004
Pisier, Gilles; Xu, Quanhua
31
1988
Riesz transforms: A simpler analytic proof of P. A. Meyer’s inequality. Zbl 0645.60061
Pisier, Gilles
27
1988
Weak Hilbert spaces. Zbl 0666.46009
Pisier, Gilles
26
1988
The dual \(J^ *\) of the James space has cotype 2 and the Gordon-Lewis property. Zbl 0649.46022
Pisier, Gilles
4
1988
Gaussian processes and mixed volumes. Zbl 0636.60036
Milman, V. D.; Pisier, G.
12
1987
Random series in the real interpolation spaces between the spaces \(v_ p\). Zbl 0634.46009
Pisier, Gilles; Xu, Quanhua
4
1987
Factorization of linear operators and geometry of Banach spaces. Zbl 0588.46010
Pisier, Gilles
153
1986
Probabilistic methods in the geometry of Banach spaces. Zbl 0606.60008
Pisier, Gilles
39
1986
Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations. Zbl 0619.47016
Pisier, Gilles
38
1986
Banach spaces with a weak cotype 2 property. Zbl 0611.46022
Milman, Vitali D.; Pisier, Gilles
18
1986
Factorisation des opérateurs (q,p)-sommants sur les \(C^*\)-algèbres. (Factorization of (q,p)-summing operators on \(C^*\)-algebras). Zbl 0584.47017
Pisier, Gilles
3
1985
Sur les opérateurs p-sommants et p-radonifiants pour \(p<1\). (p-summing and p-Radonifying operators for \(p<1)\). Zbl 0586.47017
Pisier, Gilles
2
1985
Stochastic processes with sample paths in exponential Orlicz spaces. Zbl 0576.60031
Marcus, Michael B.; Pisier, Gilles
1
1985
Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Zbl 0547.60047
Marcus, M. B.; Pisier, G.
59
1984
Some results on the continuity of stable processes and the domain of attraction of continuous stable processes. Zbl 0536.60048
Marcus, M. B.; Pisier, G.
10
1984
Remarques sur les classes de Vapnik-Červonenkis. Zbl 0555.60005
Pisier, Gilles
4
1984
Counterexamples to a conjecture of Grothendieck. Zbl 0542.46038
Pisier, Gilles
51
1983
A construction of \({\mathcal L}_{\infty}\)-spaces and related Banach spaces. Zbl 0586.46011
Bourgain, Jean; Pisier, Gilles
31
1983
Some applications of the metric entropy condition to harmonic analysis. Zbl 0517.60043
Pisier, Gilles
13
1983
On the dimension of the \(l_ p^ n\)-subspaces of Banach spaces, for \(1 \leq p < 2\). Zbl 0509.46016
Pisier, Gilles
12
1983
Arithmetic characterizations of Sidon sets. Zbl 0505.43002
Pisier, Gilles
9
1983
...and 52 more Documents
all top 5

Cited by 1,894 Authors

50 Junge, Marius
46 Pisier, Gilles
36 Naor, Assaf
32 Sukochev, Fedor Anatol’evich
30 Milman, Vitali D.
29 Xu, Quanhua
27 Tomczak-Jaegermann, Nicole
25 Le Merdy, Christian
24 Mendelson, Shahar
23 Bourgain, Jean
22 Castillo, Jesús M. F.
20 Defant, Andreas
20 Parcet, Javier
19 Ricard, Éric
18 Palazuelos, Carlos
18 Rosalsky, Andrew
18 Schechtman, Gideon
17 Hong, Guixiang
17 Mastyło, Mieczysław
17 Pajor, Alain
17 Popescu, Gelu
16 Jiao, Yong
16 Pellegrino, Daniel Marinho
16 Ruan, Zhongjin
15 Johnson, William Buhmann
15 Kalton, Nigel John
15 Szarek, Stanislaw Jerzy
14 Blecher, David P.
14 Giné-Masdéu, Evarist
14 Klartag, Bo’az
14 Paouris, Grigoris
14 Sánchez-Pérez, Enrique Alfonso
14 Veraar, Mark C.
13 Giannopoulos, Apostolos A.
13 Ostrovskii, Mikhail Iosifovich
13 Ozawa, Narutaka
13 Weis, Lutz W.
12 Bekjan, Turdebek N.
12 Brzeźniak, Zdzisław
12 Cabello Sánchez, Félix
12 Carl, Bernd
12 Linde, Werner
12 Oikhberg, Timur
12 Randrianantoanina, Narcisse
12 Todorov, Ivan G.
12 Volodin, Andrei I.
11 Godefroy, Gilles
11 Haagerup, Uffe Valentin
11 Litvak, Aleksandr Evgen’evich
11 Osękowski, Adam
11 Paulsen, Vern Ival
11 Popa, Dumitru
11 Talagrand, Michel
11 Zinn, Joel
10 Bastero, Jesús
10 Guédon, Olivier
10 Hytönen, Tuomas P.
10 Marcus, Michael B.
10 Müller, Paul F. X.
10 Peller, Vladimir Vsevolodovich
10 Pérez-García, David
10 van Neerven, Jan M. A. M.
9 Botelho, Geraldo
9 Carando, Daniel G.
9 Fernández-Unzueta, Maite
9 Figiel, Tadeusz
9 Han, Yazhou
9 John, Kamil
9 Lê Vǎn Thành
9 Lee, Hun Hee
9 Lupini, Martino
9 Neufang, Matthias
9 Shao, Jingjing
9 Smith, Roger R.
9 Tropp, Joel A.
9 Wu, Lian
9 Zanin, Dmitriy V.
9 Zizler, Vaclav E.
8 Aleksandrov, Aleksei B.
8 Blasco, Oscar
8 de la Salle, Mikael
8 Dilworth, Stephen J.
8 Gan, Shixin
8 García, Ricardo
8 Jarchow, Hans
8 Kislyakov, Sergeĭ Vital’evich
8 Kumar, Ajay
8 Mei, Tao
8 Pop, Florin
8 Potapov, Denis
8 Rudelson, Mark
8 Rueda, Pilar
8 Schlumprecht, Thomas
8 Sinclair, Allan M.
8 Suárez de la Fuente, Jesús
8 Vershynin, Roman
7 Artstein-Avidan, Shiri
7 Aubrun, Guillaume
7 Bobkov, Sergey Germanovich
7 Bu, Qingying
...and 1,794 more Authors
all top 5

Cited in 298 Serials

272 Journal of Functional Analysis
126 Israel Journal of Mathematics
119 Journal of Mathematical Analysis and Applications
110 Proceedings of the American Mathematical Society
89 Transactions of the American Mathematical Society
62 Advances in Mathematics
52 Mathematische Annalen
46 Integral Equations and Operator Theory
37 Probability Theory and Related Fields
34 Communications in Mathematical Physics
34 Positivity
30 Journal of Approximation Theory
25 Statistics & Probability Letters
25 Stochastic Processes and their Applications
24 The Annals of Probability
22 Lithuanian Mathematical Journal
22 Journal of Multivariate Analysis
21 Mathematische Zeitschrift
21 Journal of Theoretical Probability
21 Geometric and Functional Analysis. GAFA
21 Linear Algebra and its Applications
21 The Journal of Fourier Analysis and Applications
20 Rocky Mountain Journal of Mathematics
20 Studia Mathematica
19 Mathematical Proceedings of the Cambridge Philosophical Society
19 Inventiones Mathematicae
19 Journal of Mathematical Sciences (New York)
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
18 Archiv der Mathematik
18 Duke Mathematical Journal
17 Annales de l’Institut Fourier
17 The Annals of Statistics
17 Illinois Journal of Mathematics
17 Mathematische Nachrichten
17 Acta Mathematica Sinica. English Series
16 Journal of Mathematical Physics
16 Stochastic Analysis and Applications
15 Mathematical Notes
14 Acta Mathematica
14 Journal of Complexity
13 Bulletin of the Australian Mathematical Society
13 Discrete & Computational Geometry
13 Banach Journal of Mathematical Analysis
12 St. Petersburg Mathematical Journal
12 Bernoulli
11 Journal d’Analyse Mathématique
11 Monatshefte für Mathematik
10 Arkiv för Matematik
10 Czechoslovak Mathematical Journal
10 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
10 Revista Matemática Iberoamericana
10 The Journal of Geometric Analysis
10 Journal of Inequalities and Applications
10 Journal of the Australian Mathematical Society
10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 Linear and Multilinear Algebra
9 Journal of Soviet Mathematics
9 Memoirs of the American Mathematical Society
9 Proceedings of the Edinburgh Mathematical Society. Series II
9 Bulletin des Sciences Mathématiques
9 Revista Matemática Complutense
9 Annals of Mathematics. Second Series
9 Science China. Mathematics
8 Glasgow Mathematical Journal
8 Results in Mathematics
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Complex Analysis and Operator Theory
7 Compositio Mathematica
7 Functional Analysis and its Applications
7 Journal für die Reine und Angewandte Mathematik
7 Mathematika
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 International Journal of Mathematics
7 Bulletin of the American Mathematical Society. New Series
7 Journal of Convex Analysis
7 Wuhan University Journal of Natural Sciences (WUJNS)
6 Ukrainian Mathematical Journal
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Quaestiones Mathematicae
6 Advances in Applied Mathematics
6 Acta Mathematica Hungarica
6 Constructive Approximation
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Expositiones Mathematicae
6 Electronic Journal of Statistics
6 Forum of Mathematics, Sigma
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Canadian Mathematical Bulletin
5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Potential Analysis
5 Applied and Computational Harmonic Analysis
5 Infinite Dimensional Analysis, Quantum Probability and Related Topics
5 Journal of the European Mathematical Society (JEMS)
5 Lobachevskii Journal of Mathematics
5 Journal of Machine Learning Research (JMLR)
5 Journal of the Institute of Mathematics of Jussieu
5 Mediterranean Journal of Mathematics
5 Stochastics
5 Discrete Analysis
...and 198 more Serials
all top 5

Cited in 55 Fields

1,463 Functional analysis (46-XX)
736 Operator theory (47-XX)
552 Probability theory and stochastic processes (60-XX)
215 Harmonic analysis on Euclidean spaces (42-XX)
182 Convex and discrete geometry (52-XX)
123 Abstract harmonic analysis (43-XX)
77 Quantum theory (81-XX)
72 Approximations and expansions (41-XX)
72 Statistics (62-XX)
70 Topological groups, Lie groups (22-XX)
57 Functions of a complex variable (30-XX)
55 Measure and integration (28-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
50 Computer science (68-XX)
45 Real functions (26-XX)
44 Group theory and generalizations (20-XX)
41 Combinatorics (05-XX)
38 Information and communication theory, circuits (94-XX)
37 Partial differential equations (35-XX)
36 Numerical analysis (65-XX)
29 Operations research, mathematical programming (90-XX)
28 Mathematical logic and foundations (03-XX)
25 Dynamical systems and ergodic theory (37-XX)
20 Several complex variables and analytic spaces (32-XX)
19 General topology (54-XX)
19 Global analysis, analysis on manifolds (58-XX)
16 Differential geometry (53-XX)
15 Geometry (51-XX)
13 Difference and functional equations (39-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Number theory (11-XX)
11 Nonassociative rings and algebras (17-XX)
10 History and biography (01-XX)
10 Associative rings and algebras (16-XX)
10 Ordinary differential equations (34-XX)
9 Algebraic geometry (14-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Integral transforms, operational calculus (44-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 Integral equations (45-XX)
4 Category theory; homological algebra (18-XX)
4 \(K\)-theory (19-XX)
4 Potential theory (31-XX)
4 Special functions (33-XX)
4 Sequences, series, summability (40-XX)
4 Algebraic topology (55-XX)
4 Biology and other natural sciences (92-XX)
3 Fluid mechanics (76-XX)
2 General and overarching topics; collections (00-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Manifolds and cell complexes (57-XX)
2 Geophysics (86-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Systems theory; control (93-XX)

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