Gilles Pisier
Gilles Pisier | |
|---|---|
 | |
| Born | 18 November 1950 |
| Nationality | French |
| Alma mater | Paris Diderot University |
| Known for | Contributions to functional analysis, probability theory, harmonic analysis, operator theory |
| Relatives | Marie-France Pisier (sister) Évelyne Pisier (sister) |
| Awards | Ostrowski Prize (1997) Salem Prize (1979) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Pierre and Marie Curie University, Texas A&M University |
| Doctoral advisor | Laurent Schwartz |
Gilles I. Pisier (born 18 November 1950) is a professor of mathematics at the
Research
Pisier has obtained many fundamental results in various parts of mathematical analysis.
Geometry of Banach spaces
In the "local theory of
Operator theory
Pisier transformed the area of operator spaces. In the 1990s, he solved two long-standing open problems. In the theory of C*-algebras, he solved, jointly with Marius Junge, the problem of the uniqueness of C* -norms on the tensor product of two copies of B(H), the bounded linear operators on a Hilbert space H. He and Junge were able to produce two such tensor norms that are nonequivalent.[3] In 1997, he constructed an operator that was polynomially bounded but not similar to a contraction, answering a famous question of Paul Halmos.
Awards
He was an invited speaker at the 1983 ICM[6] and a plenary speaker at the 1998 ICM.[7][8] In 1997, Pisier received the Ostrowski Prize for this work. He is also a recipient of the Grands Prix de l'Académie des Sciences de Paris in 1992 and the Salem Prize in 1979.[9] In 2012 he became a fellow of the American Mathematical Society.[10]
Books
Pisier has authored several books and monographs in the fields of functional analysis, harmonic analysis, and operator theory. Among them are:
- Pisier, Gilles (1989). The volume of convex bodies and Banach space geometry. Cambridge: Cambridge University Press.
- Pisier, Gilles (25 August 2003). Introduction to Operator Space Theory. Cambridge University Press. ISBN 978-0-521-81165-1.
- Pisier, Gilles (1996). The operator Hilbert space OH, complex interpolation and tensor norms. Providence, Rhode Island. )
- Pisier, Gilles; Conference Board of the Mathematical Sciences (1986). Factorization of linear operators and geometry of Banach spaces. Providence, R.I.: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society. OCLC 12419949.
- Pisier, Gilles (1996). "Similarity Problems and Completely Bounded Maps". Lecture Notes in Mathematics. Vol. 1618. Berlin, Heidelberg: Springer Berlin Heidelberg. ISSN 0075-8434.
- Marcus, Michael B.; Pisier, Gilles (31 December 1982). Random Fourier Series with Applications to Harmonic Analysis. (AM-101). Princeton University Press. ISBN 978-1-4008-8153-6.[12]
See also
References
- ^ "Gilles Pisier". Retrieved 14 April 2010.
- ^ "Gilles Pisier". Texas A&M University. Retrieved 5 March 2010.
- ^ a b "Nesterenko and Pisier Share Ostrowski Prize" (PDF). American Mathematical Society. August 1998. Retrieved 5 March 2010.
- MR 0889253.
- S2CID 120947324.
- ^ Pisier, Gilles (1983). "Finite Rank Projections on Banach Spaces and a Conjecture of Grothendieck" (PDF). Proceedings of the ICM, 1983. pp. 1027–1039.
- ^ "ICM Plenary and Invited Speakers". mathunion.org.
- ^ Pisier, Gilles (1998). "Operator spaces and similarity problems". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I. pp. 429–452.
- ^ "UCLA Distinguished Lecturers". University of California. Retrieved 13 March 2010.
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-05-05.
- .
- .
External links
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