Format:
1 online resource (ix, 431 pages)
ISBN:
9781107160514
,
9781316675762
Series Statement:
Cambridge studies in advanced mathematics 166
Uniform Title:
Introduction à l’étude des espaces de Banach
Content:
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising 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. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Note:
Originally published in French as Introduction à l’étude des espaces de Banach by Société Mathématique de France, 2004
,
Title from publisher's bibliographic system (viewed on 10 Nov 2017)
Additional Edition:
ISBN 9781107160514
Additional Edition:
Li, Daniel Introduction to Banach spaces ; Volume 1 Cambridge : Cambridge University Press, 2018 ISBN 9781107160514
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9781107160514
Language:
English
Subjects:
Mathematics
Keywords:
Banach-Raum
DOI:
10.1017/CBO9781316675762
