
Classical Summation in Commutative and Noncommutative Lp-Spaces
Andreas Defant(Author)
Springer (Publisher)
1st Edition
Published on 22. June 2011
Book
Paperback/Softback
VIII, 171 pages
978-3-642-20437-1 (ISBN)
Description
The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space together with a faithful normal state on this algebra).
Reviews / Votes
From the reviews:
"The book under review is a beautiful and original exposition on the topic of almost everywhere convergent orthonormal series. . The student or researcher who succeeds in reading this book will be rewarded with a deep understanding of the subject, both in the commutative and noncommutative setting. . the book should stand on the shelf of anyone seriously interested in functional analysis and/or probability." (Stanislaw Goldstein, zbMATH, Vol. 1267, 2013)
"This book is well written, with a concise, clear and readable style. It is divided into 3 chapters and includes a preface, a bibliography consisting of 98 items, and symbol, author and subject indexes. . The book is a good source for specialists and graduate students working in functional analysis and operator theory." (Mohammad Sal Moslehian, Mathematical Reviews, Issue 2012 d)More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
17 s/w Abbildungen
VIII, 171 p. 17 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 11 mm
Weight
289 gr
ISBN-13
978-3-642-20437-1 (9783642204371)
DOI
10.1007/978-3-642-20438-8
Schweitzer Classification
Other editions
Additional editions

E-Book
06/2011
Springer
€37.44
Available for download
Content
1 Introduction.- 2 Commutative Theory.- 3 Noncommutative Theory.