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Multilinear Operator Integrals = Theory and Applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Multilinear Operator Integrals/ by Anna Skripka, Anna Tomskova.
其他題名:	Theory and Applications /
作者:	Skripka, Anna.
其他作者:	Tomskova, Anna.
面頁冊數:	XI, 192 p. 15 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Operator theory. -
電子資源:	https://doi.org/10.1007/978-3-030-32406-3
ISBN:	9783030324063

Multilinear Operator Integrals = Theory and Applications /
Skripka, Anna.

Multilinear Operator IntegralsTheory and Applications /[electronic resource] :by Anna Skripka, Anna Tomskova. - 1st ed. 2019. - XI, 192 p. 15 illus.online resource. - Lecture Notes in Mathematics,22500075-8434 ;. - Lecture Notes in Mathematics,2144.

- Introduction. - Notations and Preliminaries -- Double Operator Integrals -- Multiple Operator Integrals -- Applications.

This book provides a comprehensive treatment of multilinear operator integral techniques. The exposition is structured to be suitable for a course on methods and applications of multilinear operator integrals and also as a research aid. The ideas and contributions to the field are surveyed and up-to-date results and methods are presented. Most practical constructions of multiple operator integrals are included along with fundamental technical results and major applications to smoothness properties of operator functions (Lipschitz and Hölder continuity, differentiability), approximation of operator functions, spectral shift functions, spectral flow in the setting of noncommutative geometry, quantum differentiability, and differentiability of noncommutative L^p-norms. Main ideas are demonstrated in simpler cases, while more involved, technical proofs are outlined and supplemented with references. Selected open problems in the field are also presented.

ISBN: 9783030324063

Standard No.: 10.1007/978-3-030-32406-3doiSubjects--Topical Terms:

527910
Operator theory.

LC Class. No.: QA329-329.9

Dewey Class. No.: 515.724

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