HR job title
- Distinguished Professor
- Contact Info
- 1 979 845 7278
Pisier, Gilles Distinguished Professor
Positions
- Distinguished Professor, Mathematics, College of Science
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
- Contact
- Other
- View All
Overview
Publications
selected publications
-
academic article
-
Pisier, G.
(2020).
A non-nuclear C∗-algebra with the weak expectation property and the local lifting property. Inventiones Mathematicae.
222(2), 513-544.
-
Pisier, G.
(2019).
A Note on Sidon Sets in Bounded Orthonormal Systems. Journal of Fourier Analysis and Applications.
25(3), 995-1007.
-
Pisier, G.
(2018).
Completely Sidon sets in C∗-algebras. Monatshefte für Mathematik.
187(2), 357-374.
-
Pisier, G.
(2018).
Spectral Gap Properties of the Unitary Groups: Around Rider’s Results on Non-commutative Sidon Sets. MATHEMATICAL RESULTS IN QUANTUM MECHANICS.
261, 417-465.
-
Pisier, G.
(2018).
On a linearization trick. L’Enseignement Mathématique.
64(3), 315-326.
-
Naor, A., Pisier, G., Schechtman, G., & Machinery, A. C.
(2018).
Impossibility of dimension reduction in the nuclear norm. 1345-1352.
-
Pisier, G., & Ricard, E.
(2017).
THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR 0 < p < 1. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU.
16(5), 1103-1123.
-
Pisier, G.
(2017).
On uniformly bounded orthonormal Sidon systems. Mathematical Research Letters.
24(3), 893-932.
-
Pisier, G.
(2017).
Quantum expanders and growth of group representations. Annales de la faculté des sciences de Toulouse Mathématiques.
26(2), 451-462.
-
Pisier, G.
(2016).
Strong convergence for reduced free products. Infinite Dimensional Analysis Quantum Probability and Related Topics.
19(02), 1650008-1650008.
-
OZAWA, N., & PISIER, G.
(2016).
A CONTINUUM OF C*-NORMS ON (H) ⊗ (H) AND RELATED TENSOR PRODUCTS. Glasgow Mathematical Journal.
58(2), 433-443.
-
Pisier, G.
(2015).
ON THE METRIC ENTROPY OF THE BANACH–MAZUR COMPACTUM. MATHEMATIKA.
61(1), 179-198.
-
Pisier, G.
(2014).
Random matrices and subexponential operator spaces. Israel Journal of Mathematics.
203(1), 223-273.
-
Pisier, G.
(2014).
Quantum expanders and geometry of operator spaces. Journal of the European Mathematical Society.
16(6), 1183-1219.
-
Pisier, G.
(2014).
MARTINGALE INEQUALITIES AND OPERATOR SPACE STRUCTURES ON L-p. DOCUMENTA MATHEMATICA.
19(2014), 1367-1442.
-
Pisier, G.
(2013).
Real interpolation and transposition of certain function spaces. Revista Matemática Complutense.
26(1), 89-97.
-
Pisier, G.
(2012).
Grothendieck’s Theorem, past and present. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
49(2), 237-323.
-
Pisier, G.
(2012).
Completely co-bounded Schur multipliers. Operators and Matrices.
6(2), 263-270.
-
Pisier, G.
(2011).
Random Series of Trace Class Operators
-
Pisier, G.
(2011).
Real Interpolation between Row and Column Spaces. Bulletin of the Polish Academy of Sciences Mathematics.
59(3), 237-259.
-
Pisier, G.
(2010).
Complex interpolation between Hilbert, Banach and operator spaces. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY.
208(978), 0-0.
-
Pisier, G.
(2009).
Remarks on the non-commutative Khintchine inequalities for 0
-
Grigorchuk, R., Pisier, G., & Šunić, Z.
(2007).
Geometriae Dedicata: Preface. Geometriae Dedicata.
124(1), 1-4.
-
Pisier, G.
(2007).
A Remark on Hypercontractive Semigroups and Operator Ideals
-
PISIER, G.
(2007).
SIMULTANEOUS SIMILARITY, BOUNDED GENERATION AND AMENABILITY. TOHOKU MATHEMATICAL JOURNAL.
59(1), 79-99.
-
Pisier, G.
(2006).
A Similarity Degree Characterization of Nuclear $C^*$-algebras. Publications of the Research Institute for Mathematical Sciences.
42(3), 691-704.
-
Pisier, G.
(2005).
Are Unitarizable Groups Amenable?. GEOMETRY AND REPRESENTATION THEORY OF REAL AND P-ADIC GROUPS.
248, 323-362.
-
Parcet, J., & Pisier, G.
(2005).
Non-commutative Khintchine type inequalities associated with free groups. INDIANA UNIVERSITY MATHEMATICS JOURNAL.
54(2), 531-556.
-
Pisier, G.
(2004).
Completely bounded maps into certain Hilbertian operator spaces. International Mathematics Research Notices.
2004(74), 3983-4018.
-
Pisier, G.
(2004).
The Operator Hilbert Space OH and Type III Von Neumann Algebras. Bulletin of the London Mathematical Society.
36(4), 455-459.
-
Pisier, G., & Shlyakhtenko, D.
(2002).
Grothendieck’s theorem for operator spaces. Inventiones Mathematicae.
150(1), 185-217.
-
Nazarov, F., Pisier, G., Treil, S., & Volberg, A.
(2002).
Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK.
2002(542), 147-171.
-
PISIER, G.
(2001).
REMARKS ON THE SIMILARITY DEGREE OF AN OPERATOR ALGEBRA. International Journal of Mathematics.
12(04), 403-414.
-
Pisier, G.
(2001).
SIMILARITY PROBLEMS AND LENGTH. Taiwanese Journal of Mathematics.
5(1), 1-17.
-
Pisier, G.
(2001).
Multipliers of the Hardy space H 1 and power bounded operators. Colloquium Mathematicum.
88(1), 57-73.
-
Pisier, G.
(2000).
An inequality for $p$-orthogonal sums in non-commutative $L_{p}$. Illinois Journal of Mathematics.
44(4), 901-923.
-
Pisier, G.
(2000).
The similarity degree of an operator algebra, II. Mathematische Zeitschrift.
234(1), 53-81.
-
Oikhberg, T., & Pisier, G.
(1999).
The “maximal” tensor product of operator spaces. Proceedings of the Edinburgh Mathematical Society.
42(2), 267-284.
-
Pisier, G.
(1998).
Non-commutative vector valued L-p-spaces and completely p-summing maps - Introduction. ASTERISQUE.
247(247), 1-+.
-
Pisier, G.
(1998).
Joint similarity problems and the generation of operator algebras with bounded length. Integral Equations and Operator Theory.
31(3), 353-370.
-
Pisier, G.
(1997).
Espaces d'opérateurs: Une nouvelle dualité. ASTERISQUE.
241, 243-272.
-
Pisier, G.
(1997).
Quadratic forms in unitary operators. Linear Algebra and Its Applications.
267(1-3), 125-137.
-
Pisier, G., & Xu, Q.
(1997).
Non-Commutative Martingale Inequalities. COMMUNICATIONS IN MATHEMATICAL PHYSICS.
189(3), 667-698.
-
Pisier, G., & Xu, Q. H.
(1997).
Non-commutative Martingale inequalities. COMMUNICATIONS IN MATHEMATICAL PHYSICS.
189(3), 667-698.
-
Pisier, G.
(1997).
The degree of similarity of an operator algebra. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE.
324(3), 287-292.
-
Pisier, G.
(1997).
Operator spaces: A new duality. ASTERISQUE.
243-272.
-
Pisier, G.
(1997).
A polynomially bounded operator on Hilbert space which is not similar to a contraction. Journal of the American Mathematical Society.
10(2), 351-369.
-
Pisier, G.
(1996).
A simple proof of a theorem of kirchberg and related results on C*-norms. JOURNAL OF OPERATOR THEORY.
35(2), 317-335.
-
Pisier, G.
(1996).
Dvoretzky's theorem for operator spaces. HOUSTON JOURNAL OF MATHEMATICS.
22(2), 399-416.
-
Pisier, G.
(1996).
The operator Hilbert space OH, complex interpolation and tensor norms. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY.
122(585), 1-&.
-
Pisier, G.
(1996).
A polynomially bounded operator on Hilbert space which is not similar to a contraction. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE.
322(6), 547-550.
-
Pisier, G.
(1995).
Multipliers and Lacunary Sets in Non-Amenable Groups. American Journal of Mathematics.
117(2), 337-376.
-
Junge, M., & Pisier, G.
(1995).
Bilinear forms on exact operator spaces andB(H)⊗B(H). GEOMETRIC AND FUNCTIONAL ANALYSIS.
5(2), 329-363.
-
Pisier, G.
(1995).
Exact operator spaces. ASTERISQUE.
159-&.
-
Pisier, G.
(1995).
Projections from a von Neumann algebra onto a subalgebra. Bulletin de la Société mathématique de France.
123(1), 139-153.
-
HE, A., & PISIER, G.
(1995).
THE K t -FUNCTIONAL FOR THE INTERPOLATION COUPLE L ∞ ( dμ L 1 ( dv )), L ∞ ( dv ; L 1 ( dμ )). The Quarterly Journal of Mathematics.
46(3), 333-344.
-
Pisier, G.
(1994).
Complex interpolation and regular operators between Banach lattices. Archiv der Mathematik.
62(3), 261-269.
-
Haagerup, U., & Pisier, G.
(1993).
Bounded linear operators between $C^ast$-algebras. DUKE MATHEMATICAL JOURNAL.
71(3), 889-925.
-
Pisier, G.
(1993).
The Kt-Functional for the Interpolation Couple L1(A0), L∞(A1). JOURNAL OF APPROXIMATION THEORY.
73(1), 106-117.
-
PISIER, G.
(1993).
OPERATORS FACTORIZABLE THROUGH OH. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE.
316(2), 165-170.
-
PISIER, G.
(1993).
THE OPERATOR HILBERT-SPACE AND COMPLEX INTERPOLATION. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE.
316(1), 47-52.
-
Pisier, G.
(1992).
Interpolation between H p spaces and noncommutative generalizations. I. PACIFIC JOURNAL OF MATHEMATICS.
155(2), 341-368.
-
PISIER, G.
(1992).
A SIMPLE PROOF OF A THEOREM OF BOURGAIN,JEAN. MICHIGAN MATHEMATICAL JOURNAL.
39(3), 475-484.
-
Pisier, G.
(1992).
Factorization of operator valued analytic functions. Advances in Mathematics.
93(1), 61-125.
-
Pisier, G.
(1992).
A simple proof of a theorem of Jean Bourgain. MICHIGAN MATHEMATICAL JOURNAL.
39(3), 475-484.
-
Pisier, G.
(1992).
Remarks on complemented subspaces of von Neumann algebras*. Proceedings of the Royal Society of Edinburgh Section A Mathematics.
121(1-2), 1-4.
-
Lust-Piquard, F., & Pisier, G.
(1991).
Non commutative Khintchine and Paley inequalities. Arkiv för Matematik.
29(1-2), 241-260.
-
Johnson, W. B., & Pisier, G.
(1991).
The Proportional Uap Characterizes Weak Hilbert Spaces. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES.
s2-44(3), 525-536.
-
PISIER, G.
(1990).
A REMARK ON PI-2(LP,LP). MATHEMATISCHE NACHRICHTEN.
148, 243-245.
-
PISIER, G.
(1990).
COMPLETELY BOUNDED MAPS BETWEEN SETS OF BANACH-SPACE OPERATORS. INDIANA UNIVERSITY MATHEMATICS JOURNAL.
39(1), 249-277.
-
Pisier, G.
(1989).
A new approach to several results of V. Milman. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK.
1989(393), 115-131.
-
PISIER, G.
(1988).
FACTORIZATION OF OPERATOR VALUED ANALYTIC-FUNCTIONS. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE.
307(19), 955-960.
-
Pisier, G., & Xu, Q.
(1988).
The strongp-variation of martingales and orthogonal series. Probability Theory and Related Fields.
77(4), 497-514.
-
Pisier, G.
(1988).
Weak Hilbert Spaces. Proceedings of the London Mathematical Society.
s3-56(3), 547-579.
-
Pisier, G.
(1988).
The dual J* of the James space has cotype 2 and the Gordon-Lewis property. Mathematical Proceedings of the Cambridge Philosophical Society.
103(2), 323-331.
-
Milman, V. D., & Pisier, G.
(1987).
Gaussian Processes and Mixed Volumes. The Annals of Probability.
15(1), 292-304.
-
Milman, V. D., & Pisier, G.
(1986).
Banach spaces with a weak cotype 2 property. Israel Journal of Mathematics.
54(2), 139-158.
-
Pisier, G.
(1986).
Factorization of operators throughLp∞ orLp1 and non-commutative generalizations. Mathematische Annalen.
276(1), 105-136.
-
Pisier, G.
(1986).
Probabilistic methods in the geometry of Banach spaces. GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS.
1206, 167-241.
-
Marcus, M. B., & Pisier, G.
(1985).
Stochastic processes with sample paths in exponential Orlicz spaces. GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS.
1153, 329-358.
-
Marcus, M. B., & Pisier, G.
(1984).
Characterizations of almost surely continuousp-stable random Fourier series and strongly stationary processes. Acta Mathematica.
152(1), 245-301.
-
Pisier, G.
(1983).
Counterexamples to a conjecture of Grothendieck. Acta Mathematica.
151(1), 181-208.
-
Bourgain, J., & Pisier, G.
(1983).
A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces. Bulletin of the Brazilian Mathematical Society, New Series.
14(2), 109-123.
-
Pisier, G.
(1983).
On the Dimension of the l n p -Subspaces of Banach Spaces, for 1 p < 2. Transactions of the American Mathematical Society.
276(1), 201-211.
-
Pisier, G.
(1983).
Arithmetic characterizations of Sidon sets. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
8(1), 87-89.
-
Pisier, G.
(1983).
On the dimension of the l p n l^{n}_{p} -subspaces of Banach spaces, for 1 ≤ p < 2 1leq p<2. Transactions of the American Mathematical Society.
276(1), 201-211.
-
Pisier, G.
(1983).
Some applications of the metric entropy condition to harmonic analysis. GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS.
995, 123-154.
-
Pisier, G.
(1982).
Quotients of Banach Spaces of Cotype q. Proceedings of the American Mathematical Society.
85(1), 32-36.
-
Pisier, G.
(1982).
Holomorphic Semi-Groups and the Geometry of Banach Spaces. Annals of Mathematics.
115(2), 375-392.
-
Pisier, G.
(1982).
Quotients of Banach spaces of cotype q q. Proceedings of the American Mathematical Society.
85(1), 32-36.
-
Pisier, G.
(1979).
Some applications of the complex interpolation method to Banach lattices. Journal d'Analyse Mathematique.
35(1), 264-281.
-
Pisier, G.
(1979).
A remarkable homogeneous Banach algebra. Israel Journal of Mathematics.
34(1-2), 38-44.
-
Pisier, G., & Zinn, J.
(1978).
On the limit theorems for random variables with values in the spaces Lp (2≦p<∞). Probability Theory and Related Fields.
41(4), 289-304.
-
Pisier, G.
(1978).
Grothendieck's theorem for noncommutative C∗-algebras, with an Appendix on Grothendieck's constants. Journal of Functional Analysis.
29(3), 397-415.
-
Hoffmann-Jorgensen, J., & Pisier, G.
(1976).
The Law of Large Numbers and the Central Limit Theorem in Banach Spaces. The Annals of Probability.
4(4), 587-599.
-
Pisier, G.
(1975).
Martingales with values in uniformly convex spaces. Israel Journal of Mathematics.
20(3-4), 326-350.
-
Enflo, P., Lindenstrauss, J., & Pisier, G.
(1975).
On the "Three space problem". Mathematica Scandinavica.
36, 199-210.
-
Pisier, G.
On a Characterization of the Weak Expectation Property (WEP)
-
Pisier, G.
Quantum Expanders and Geometry of Operator Spaces II
-
Pisier, G.
(2020).
A non-nuclear C∗-algebra with the weak expectation property and the local lifting property. Inventiones Mathematicae.
222(2), 513-544.
-
book
-
Pisier, G.
(2016).
Martingales in Banach Spaces. Cambridge University Press.
-
Pisier, G.
(2003).
Introduction to Operator Space Theory. Cambridge University Press.
-
Pisier, G.
(1996).
Similarity Problems and Completely Bounded Maps. Ed. 1618.
Springer Berlin Heidelberg.
-
Pisier, G.
(1989).
The Volume of Convex Bodies and Banach Space Geometry. Cambridge University Press.
-
Pisier, G.
(1986).
Factorization of Linear Operators and Geometry of Banach Spaces. Ed. 60.
American Mathematical Society.
-
Marcus, M. B., & Pisier, G.
(1982).
Random Fourier Series with Applications to Harmonic Analysis. (AM-101). Princeton University Press.
-
Pisier, G.
(2016).
Martingales in Banach Spaces. Cambridge University Press.
-
chapter
-
Davis, B., & Song, R.
(2011).
Don Burkholder’s work on Banach spaces. Davis, B., & Song, R. (Eds.),
Selected Works of Donald L. Burkholder.
(pp. 23-30).
Springer New York.
-
Pisier, G.
(2010).
The Halmos Similarity Problem. MATHEMATICAL RESULTS IN QUANTUM MECHANICS.
Axler, S., Rosenthal, P., & Sarason, D. (Eds.),
A Glimpse at Hilbert Space Operators.
(pp. 325-339).
Springer Basel.
-
Pisier, G.
(2003).
Chapter 33 Operator Spaces. Handbook of the Geometry of Banach Spaces.
(pp. 1425-1458).
Elsevier.
-
Pisier, G., & Xu, Q.
(2003).
Chapter 34 Non-Commutative Lp-Spaces. Handbook of the Geometry of Banach Spaces.
(pp. 1459-1517).
Elsevier.
-
Pisier, G.
(1982).
On the duality between type and cotype. GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS.
Chao, J., & Woyczyński, W. A. (Eds.),
Martingale Theory in Harmonic Analysis and Banach Spaces.
(pp. 131-144).
Springer Berlin Heidelberg.
-
Davis, B., & Song, R.
(2011).
Don Burkholder’s work on Banach spaces. Davis, B., & Song, R. (Eds.),
Selected Works of Donald L. Burkholder.
(pp. 23-30).
Springer New York.
-
conference paper
-
Pisier, G.
(2006).
Remarks onB(H) ⊗B(H). Proceedings - Mathematical Sciences.
423-428.
-
Fonf, V. P., Johnson, W. B., Pisier, G., & Preiss, D.
(2003).
Stochastic approximation properties in Banach spaces. Studia Mathematica.
103-119.
-
Pisier, G.
(2006).
Remarks onB(H) ⊗B(H). Proceedings - Mathematical Sciences.
423-428.
Research
co-principal investigator on
- Workshop in Analysis and Probability awarded by National Science Foundation - (Arlington, Virginia, United States) 2018 - 2020
- Workshop in Analysis and Probability awarded by National Science Foundation - (Arlington, Virginia, United States) 2015 - 2019
- Conference: Geometric and Probabilistic Methods in Group Theory and Dynamical Systems awarded by National Science Foundation - (Arlington, Virginia, United States) 2015 - 2016
- NSF-Workshop In Analysis and Probability awarded by National Science Foundation - (Arlington, Virginia, United States) 2012 - 2016
Teaching
teaching activities
- MATH663 Seminar In Analysis Instructor
Works By Students
chaired theses and dissertations
-
Iushchenko, Kateryna (2011-12). On Two Properties of Operator Algebras: Logmodularity of Subalgebras, Embeddability into R^w.
-
Kravchenko, Rostyslav (2010-12). Measure Theory of Self-Similar Groups and Digit Tiles.
-
Mei, Tao (2006-08). Operator valued Hardy spaces and related subjects.
Background
education and training
- Ph.D. in Mathematics, Paris Diderot University - (Paris, France) 1977
awards and honors
- Fellow, conferred by American Mathematical Society - (Providence, Rhode Island, United States), 2013
- Stefan Banach Medal, conferred by Polish Academy of Sciences - (Warsaw, Poland), 2001
- University Professorships for Undergraduate Teaching Excellence, conferred by Texas A&M University - (College Station, Texas, United States), 1998
- Fellow, conferred by Institute of Mathematical Statistics - (Beachwood, Ohio, United States), 1989
Contact
first name
- Gilles
has last name
- Pisier
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- pisier@tamu.edu