1.

Record Nr.

UNINA9910805577503321

Autore

Dodds Peter G

Titolo

Noncommutative Integration and Operator Theory / / by Peter G. Dodds, Ben de Pagter, Fedor A. Sukochev

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2023

ISBN

3-031-49654-X

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (583 pages)

Collana

Progress in Mathematics, , 2296-505X ; ; 349

Altri autori (Persone)

de PagterBen

SukochevFedor A

Disciplina

515.724

Soggetti

Operator theory

Global analysis (Mathematics)

Manifolds (Mathematics)

Functional analysis

Operator Theory

Global Analysis and Analysis on Manifolds

Functional Analysis

Àlgebres de Banach

Teoria d'operadors

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

The purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras. It is designed to serve as an introductory graduate level text as well as a basic reference for more established mathematicians with interests in the continually expanding areas of noncommutative analysis and probability. Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the general theory of rearrangement invariant Banach lattices of measurable functions which has its roots in many areas of classical analysis related to the well-known Lp-spaces. A principal aim, therefore, is to present a general theory which contains



each of these motivating areas as special cases.