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

Format:

Book

Author/Creator:

Dodds, Peter G.

Contributor:

Pagter, Ben de.

Sukochev, F. A.

Series:

Progress in Mathematics, 2296-505X ; 349

Language:

English

Subjects (All):

Operator theory.

Global analysis (Mathematics).

Manifolds (Mathematics).

Functional analysis.

Operator Theory.

Global Analysis and Analysis on Manifolds.

Functional Analysis.

Local Subjects:

Operator Theory.

Global Analysis and Analysis on Manifolds.

Functional Analysis.

Physical Description:

1 online resource (583 pages)

Edition:

1st ed. 2023.

Place of Publication:

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

Summary:

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.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Dodds, Peter G. Noncommutative Integration and Operator Theory

ISBN:

9783031496547

303149654X

OCLC:

1419056445