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Factorization of linear operators and geometry of Banach spaces

Author: Gilles Pisier; Conference Board of the Mathematical Sciences.
Publisher: Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, ©1986.
Series: Regional conference series in mathematics, no. 60.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Examines the central question of which Banach spaces $X$ and $Y$ have the property that every bounded operator from $X$ to $Y$ factors through a Hilbert space, in particular when the operators are  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Gilles Pisier; Conference Board of the Mathematical Sciences.
ISBN: 0821807102 9780821807101
OCLC Number: 12419949
Notes: "Expository lectures from the CBMS regional conference held at the University of Missouri-Columbia, June 25-29, 1984"--Title page verso.
Description: x, 154 pages ; 25 cm.
Contents: Absolutely summing operators and basic applications Factorization through a Hilbert space Type and cotype. Kwapien's theorem The ""abstract"" version of Grothendieck's theorem Grothendieck's theorem Banach spaces satisfying Grothendieck's theorem Applications of the volume ratio method Banach lattices $C^*$-algebras Counterexamples to Grothendieck's conjecture.
Series Title: Regional conference series in mathematics, no. 60.
Responsibility: Gilles Pisier.

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