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Multilinear operator integralstheory...

Skripka, Anna.

Multilinear operator integralstheory and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Multilinear operator integralsby Anna Skripka, Anna Tomskova.
Reminder of title:	theory and applications /
Author:	Skripka, Anna.
other author:	Tomskova, Anna.
Published:	Cham :Springer International Publishing :2019.
Description:	xi, 192 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Integral operators.
Online resource:	https://doi.org/10.1007/978-3-030-32406-3
ISBN:	9783030324063$q(electronic bk.)

Multilinear operator integralstheory and applications /
Skripka, Anna.

Multilinear operator integralstheory and applications /[electronic resource] :by Anna Skripka, Anna Tomskova. - Cham :Springer International Publishing :2019. - xi, 192 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22500075-8434 ;. - Lecture notes in mathematics ;2035..

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 Holder 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$q(electronic bk.)

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

306361
Integral operators.

LC Class. No.: QA329.6 / .S57 2019

Dewey Class. No.: 515.723

Multilinear operator integralstheory and applications /
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245 1 0 $a Multilinear operator integrals $h [electronic resource] : $b theory and applications / $c by Anna Skripka, Anna Tomskova.
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490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2250
520 $a 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 Holder 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.
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