Last edited by Viramar
Sunday, August 2, 2020 | History

5 edition of The Volume of Convex Bodies and Banach Space Geometry found in the catalog.

The Volume of Convex Bodies and Banach Space Geometry

by Gilles Pisier

  • 107 Want to read
  • 37 Currently reading

Published by Cambridge University Press .
Written in English

    Subjects:
  • Functional analysis,
  • Probability & Statistics - General,
  • Mathematics,
  • Science/Mathematics,
  • General,
  • Geometry - General,
  • Transformations,
  • Banach spaces,
  • Mathematics / Differential Equations

  • The Physical Object
    FormatPaperback
    Number of Pages250
    ID Numbers
    Open LibraryOL7750992M
    ISBN 10052166635X
    ISBN 109780521666350

    Banach space geometry literature. (This terminology may seem inappropriate, since John does not consider the problem IE(K) in [18]. However, in Banach space geometry literature, one is mainly interested in symmetric convex bodies, that is K= K, and for this class. Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (volume 23) The volume of convex bodies and Banach space geometry. Cambridge Univ. Press, Google Scholar Talagrand M. () Applications to Banach Space Theory. In: Probability in Banach Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete (A Series of Author: Michel Talagrand.

    Book Series. Cambridge Tracts in Mathematics; The Volume of Convex Bodies and Banach Space Geometry. by Gilles Pisier | May 27 Paperback CDN$ CDN$ The Volume of Convex Bodies and Banach Space Geometry. by Gilles Pisier | Aug 7 Printed Access Code. Asymptotic convex geometry ma y be described as the study of convex bodies from a geometric and analytic point of view, with an emphasis on t he dependence of various parameters on the dimension.

    The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The Volume of Convex Bodies and Banach Space Geometry, Cambridge Tracts in Mathemat Cambridge University Press Cited by: 4.   Purchase Handbook of the Geometry of Banach Spaces, Volume 1 - 1st Edition. Print Book & E-Book. ISBN , Book Edition: 1.


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The Volume of Convex Bodies and Banach Space Geometry by Gilles Pisier Download PDF EPUB FB2

Now in paperback, this book aims to give a self-contained presentation of a number of recent results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed by: Now in paperback, this popular book gives a self-contained presentation of a number of recent 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. 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 by: © Cambridge University Press Cambridge University Press - The Volume of Convex Bodies and Banach Space Geometry.

Bull. Amer. Math. Soc. (N.S.) Vol Number 1 (), Review: Gilles Pisier, The volume of convex bodies and Banach space geometry Donald L. BurkholderCited by: 1. Get this from a library. The Volume of Convex Bodies and Banach Space Geometry.

[Gilles Pisier] -- 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. This book gives a self-contained presentation of some recent results, relating the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional This employs classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces.

Search for "Geometry Of Linear 2 Normed Spaces" Books in the Search Form now, Download or Read Books for FREE, just by Creating an Account to enter our library.

More than 1 Million Books in Pdf, ePub, Mobi, Tuebl and Audiobook formats. Hourly Update. Journal of the London Mathematical Society; Bulletin of the London Mathematical Society.

Vol Issue 5. Book reviews. THE VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY (Cambridge Tracts in Mathematics 94) Béla Bollobás. Search for Cited by: By Gilles Pisier: pp., £/US$, ISBN 0 5 (Cambridge University Press, ).Cited by: In mathematics, convex geometry is the branch of geometry studying convex sets, mainly in Euclidean sets occur naturally in many areas: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral geometry, linear programming, probability theory, game theory, etc.

Local Theory of Banach Spaces∗ Naor, Fall Scribe: Evan Chou Texts: • Milman, Schechtman. Asymptotic theory of finite dimensional normed spaces • Albiac, Kalton. Topics in Banach space theory • Pisier.

Volumes of convex bodies and Banach space geometry • Tomczak, Jaegerman. Banach-Mazur distances and finite dimensional operator. The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the intersection of classical convex geometry and the local theory of Banach by: Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions.

The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets.

Handbook of the Geometry of Banach Spaces. Edited by W.B. Johnson, J. Lindenstrauss. Volume 1, Pages () Convex Geometry and Functional Analysis.

Keith Ball. PagesBook chapter Full text access Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces. On Santal´o’s inequality, volumepages – Springer, [5] V. Milman. Almost Euclidean quotient spaces of subpspaces of finite-dimensional normed spaces.

Proc. Amer. Math. Soc., –, [6] G. Pisier. The Volume of Convex Bodies and Banach Space Geometry, volume 94 of Cambridge Tracts in Mathematics Cited by: 1. In mathematics, a convex body in n-dimensional Euclidean space is a compact convex set with non-empty interior.

A convex body K is called symmetric if it is centrally symmetric with respect to the origin, i.e. a point x lies in K if and only if its antipode, −x, also lies in ric convex bodies are in a one-to-one correspondence with the unit balls of norms on R n.

He is a member of the Paris Académie des Sciences, a Foreign member of the Polish and Indian Academies of Science, and a Fellow of both the IMS and the AMS. He is also the author of several books, notably The Volume of Convex Bodies and Banach Space Geometry (Cambridge, ) and Introduction to Operator Space Theory (Cambridge, ).Pages:   The Handbook presents an overview of most aspects of modernBanach space theory and its applications.

The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex.

Series: Handbook of the Geometry of Banach Spaces The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience.

A friendly introduction into geometry of Banach spaces. An Introduction to Banach Space Theory Graduate Texts in Mathematics. Robert E. Megginson. A more academic, but still very basic exposition.

Topics in Banach space theory. F. Albiac, N. Kalton. Though this is still a textbook, it contains a lot. Mostly for future Banach space specialists.Handbook of the Geometry of Banach Spaces, Volume 2 The Volume of Convex Bodies and Banach Space Geometry (Cambridge Tracts in Mathematics) Convexity and Optimization in Banach Spaces (Springer Monographs in Mathematics) An Introduction to Sobolev Spaces and Interpolation.Key words and phrases.

Convex body, C(K) space, order interval, intersection of balls, vector sum, generating set, Maehara set, diametric completion. 1 Introduction The geometry of convex bodies in Banach spaces poses some interesting questions about interrelations between di erent ways of generating convex bodies, in particular.