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Asymptotic theory of finite dimensional normed spaces

Author: Vitali D Milman; Gideon Schechtman; Mikhail Gromov
Publisher: Berlin ; Heidelberg ; New York [etc] : Springer, cop. 2001.
Series: Lecture notes in mathematics, 1200.
Edition/Format:   Book : English : Second corrected printing editionView all editions and formats
Database:WorldCat
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With an Appendix by M. Gromov

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Document Type: Book
All Authors / Contributors: Vitali D Milman; Gideon Schechtman; Mikhail Gromov
ISBN: 3540167692 9783540167693
OCLC Number: 490755636
Notes: Contient aussi : Isoperimetric inequalities in Riemannian Manifolds / by M. Gromov
Description: 1 vol. (X-156 p.) ; 24 cm.
Contents: The Concentration of Measure Phenomenon in the Theory of Normed Spaces.- Preliminaries.- The Isoperimetric Inequality on Sn?1 and Some Consequences.- Finite Dimensional Normed Spaces, Preliminaries.- Almost Euclidean Subspaces of A Normed Space.- Almost Euclidean Subspaces of ?{p}n Spaces, of General n-Dimensional Normed Spaces, and of Quotient of n-Dimensional Spaces.- Levy Families.- Martingales.- Embedding ?pm into ?1n.- Type and Cotype of Normed Spaces, and Some Simple Relations with Geometrical Properties.- Additional Applications of Levy Families in the Theory of Finite Dimensional Normed Spaces.- Type and Cotype of Normed Spaces.- Ramsey's Theorem with Some Applications to Normed Spaces.- Krivine's Theorem.- The Maurey-Pisier Theorem.- The Rademacher Projection.- Projections on Random Euclidean Subspaces of Finite Dimensional Normed Spaces.
Series Title: Lecture notes in mathematics, 1200.
Responsibility: Vitali D. Milman, Gideon Schechtman ; with an appendix by M. Gromov.
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