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＜電子ブック＞
Multilinear Operator Integrals : Theory and Applications / by Anna Skripka, Anna Tomskova
(Lecture Notes in Mathematics. ISSN:16179692 ; 2250)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XI, 192 p. 15 illus : online resource
著者標目	*Skripka, Anna author Tomskova, Anna author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Functional analysis LCSH:Algebras, Linear LCSH:Mathematical physics FREE:Operator Theory FREE:Functional Analysis FREE:Linear Algebra FREE:Mathematical Physics
一般注記	- 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 HTTP:URL=https://doi.org/10.1007/978-3-030-32406-3

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