Overview
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).
Full Product Details
Author: Andreas Defant
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Volume: 2021
Dimensions:
Width: 15.50cm
, Height: 0.90cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9783642204371
ISBN 10: 3642204376
Pages: 171
Publication Date: 22 June 2011
Audience:
Professional and scholarly
,
College/higher education
,
Professional & Vocational
,
Undergraduate
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
From the reviews: 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)
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)
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)
