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Noncommutative integration and operator theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Noncommutative integration and operator theory/ by Peter G. Dodds, Ben de Pagter, Fedor A. Sukochev.
作者:	Dodds, Peter G.
其他作者:	Pagter, Ben de.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xi, 577 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Operator theory. -
電子資源:	https://doi.org/10.1007/978-3-031-49654-7
ISBN:	9783031496547

Noncommutative integration and operator theory
Dodds, Peter G.

Noncommutative integration and operator theory[electronic resource] /by Peter G. Dodds, Ben de Pagter, Fedor A. Sukochev. - Cham :Springer Nature Switzerland :2023. - xi, 577 p. :ill., digital ;24 cm. - Progress in mathematics,v. 3492296-505X ;. - Progress in mathematics ;v. 349..

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.

ISBN: 9783031496547

Standard No.: 10.1007/978-3-031-49654-7doiSubjects--Topical Terms:

542531
Operator theory.

LC Class. No.: QA329

Dewey Class. No.: 515.724

Noncommutative integration and operator theory
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