Noncommutative integration and operator theory / Peter G. Dodds, Ben de Pagter, Fedor A. Sukochev.

Format:

Book

Author/Creator:

Dodds, Peter G., author.

Pagter, Ben de, author.

Sukochev, F. A., author.

Series:

Progress in mathematics (Boston, Mass.) ; 2296-505X v. 349.

Progress in mathematics, 2296-505X ; volume 349

Language:

English

Subjects (All):

Operator theory.

Noncommutative algebras.

Physical Description:

xi, 577 pages ; 24 cm.

Place of Publication:

Cham, Switzerland : 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."--Provided by publisher.

Notes:

Includes bibliographical references (pages 567-572) and index.

Other Format:

Online version: Dodds, Peter G. Noncommutative integration and operator theory.

ISBN:

3031496531

9783031496530

OCLC:

1406830028