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Asymptotic theory of finite dimensional normed spaces. : with an appendix Isoperimetric inequalities in Riemannian manifolds / by Michail Gromov

Author: Vitali D Milman; Mikhail Gromov; Gideon Schechtman
Publisher: Berlin [u.a.] : Springer, 1986.
Series: Lecture notes in mathematics, 1200
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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With an Appendix by M. Gromov

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Vitali D Milman; Mikhail Gromov; Gideon Schechtman
ISBN: 3540167692 9783540167693 0387167692 9780387167695
OCLC Number: 230833362
Description: V, 156 S.
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.

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