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Classical Summation in Commutative and Noncommutative Lp-Spaces de Andreas Defant

Classical Summation in Commutative and Noncommutative Lp-Spaces: Lecture Notes in Mathematics, cartea 2021

Autor Andreas Defant
en Limba Engleză Paperback – 22 iun 2011
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).
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Specificații

ISBN-13: 9783642204371
ISBN-10: 3642204376
Pagini: 170
Ilustrații: VIII, 171 p. 17 illus.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.25 kg
Ediția:2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1 Introduction.- 2 Commutative Theory.- 3 Noncommutative Theory.

Recenzii

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.” (Stanisław 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)

Textul de pe ultima copertă

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).

Caracteristici

Includes supplementary material: sn.pub/extras