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The volume of convex bodies and Bana...

Pisier, Gilles, (1950-)

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The volume of convex bodies and Banach space geometry

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The volume of convex bodies and Banach space geometry/ Gilles Pisier.
其他題名:	The Volume of Convex Bodies & Banach Space Geometry
作者:	Pisier, Gilles,
出版者:	Cambridge :Cambridge University Press, : 1989.,
面頁冊數:	xv, 250 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Banach spaces. -
電子資源:	https://doi.org/10.1017/CBO9780511662454
ISBN:	9780511662454

The volume of convex bodies and Banach space geometry
Pisier, Gilles,1950-

The volume of convex bodies and Banach space geometry[electronic resource] /The Volume of Convex Bodies & Banach Space GeometryGilles Pisier. - Cambridge :Cambridge University Press,1989. - xv, 250 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;94. - Cambridge tracts in mathematics ;94..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas.

ISBN: 9780511662454Subjects--Topical Terms:

579190
Banach spaces.

LC Class. No.: QA322.2 / .P57 1989

Dewey Class. No.: 515.732

The volume of convex bodies and Banach space geometry
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas.
650 0 $a Banach spaces. $3 579190
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830 0 $a Cambridge tracts in mathematics ; $v 94. $3 3470575
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