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Multilinear Operator Integrals

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Multilinear Operator Integrals Synopsis

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.

About This Edition

ISBN: 9783030324056
Publication date:
Author: Anna Skripka, Anna Tomskova
Publisher: Springer Nature Switzerland AG
Format: Paperback
Pagination: 192 pages
Series: Lecture Notes in Mathematics
Genres: Functional analysis and transforms
Algebra
Mathematical physics