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＜E-Book＞
Multilinear Operator Integrals : Theory and Applications / by Anna Skripka, Anna Tomskova
(Lecture Notes in Mathematics. ISSN:16179692 ; 2250)

Edition	1st ed. 2019.
Publisher	Cham : Springer International Publishing : Imprint: Springer
Year	2019
Language	English
Size	XI, 192 p. 15 illus : online resource
Authors	*Skripka, Anna author Tomskova, Anna author SpringerLink (Online service)
Subjects	LCSH:Operator theory LCSH:Functional analysis LCSH:Algebras, Linear LCSH:Mathematical physics FREE:Operator Theory FREE:Functional Analysis FREE:Linear Algebra FREE:Mathematical Physics
Notes	- 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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