Introduction to Banach spaces: analysis and probability, Vol.1

By:

Li, Daniel

Contributor(s):

Queffélec, Hervé

Series: Cambridge studies in advanced mathematics ; 166Publication details: Cambridge University Press, 2004. Cambridge:Description: xxx, 431 p. : ill. ; hb. ; 24 cmISBN:

9781107160514

Subject(s):

DDC classification:

515.732 LID

Summary: This two-volume text provides a complete overview of the theory of Banach spaces, emphasizing its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. 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 authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.732 LID (Browse shelf(Opens below))	1	Available		030115

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Previous	515.73 GAR Introduction to model spaces and their operators	515.73 PER Locally convex spaces over non-Archimedean valued fields	515.732 LID Introduction to Banach spaces: analysis and probability, Vol.2	515.732 LID Introduction to Banach spaces: analysis and probability, Vol.1	515.732 WOJ Banach spaces for analysts	515.733 PAU Introduction to the theory of reproducing Kernel Hilbert spaces	515.782 CLA Natural dualities for the working algebraist	Next

Formerly CIP.
Includes bibliographical references and indexes.

This two-volume text provides a complete overview of the theory of Banach spaces, emphasizing its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. 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 authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

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