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Martingales in Banach spaces

Pisier, Gilles, (1950-)

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Martingales in Banach spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Martingales in Banach spaces/ Gilles Pisier.
Author:	Pisier, Gilles,
Published:	Cambridge :Cambridge University Press, : 2016.,
Description:	xxviii, 561 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 06 Jun 2016).
Subject:	Martingales (Mathematics) -
Online resource:	https://doi.org/10.1017/CBO9781316480588
ISBN:	9781316480588

Martingales in Banach spaces
Pisier, Gilles,1950-

Martingales in Banach spaces[electronic resource] /Gilles Pisier. - Cambridge :Cambridge University Press,2016. - xxviii, 561 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;155. - Cambridge studies in advanced mathematics ;155..

Title from publisher's bibliographic system (viewed on 06 Jun 2016).

This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.

ISBN: 9781316480588Subjects--Topical Terms:

646248
Martingales (Mathematics)

LC Class. No.: QA274.5 / .P57 2016

Dewey Class. No.: 519.287

Martingales in Banach spaces
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245 1 0 $a Martingales in Banach spaces $h [electronic resource] / $c Gilles Pisier.
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xxviii, 561 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 155
500 $a Title from publisher's bibliographic system (viewed on 06 Jun 2016).
520 $a This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.
650 0 $a Martingales (Mathematics) $3 646248
650 0 $a Banach spaces. $3 579190
830 0 $a Cambridge studies in advanced mathematics ; $v 155. $3 3470607
856 4 0 $u https://doi.org/10.1017/CBO9781316480588