Multilinear operator integrals : theory and applications
Author(s)
Bibliographic Information
Multilinear operator integrals : theory and applications
（Lecture notes in mathematics, 2250）
Springer, c2019
Available at 32 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2250200040071335
Note
Includes bibliographical references (p. 179-188) and index
Description and Table of Contents
Description
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 Hoelder 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.
Table of Contents
- Introduction. - Notations and Preliminaries.- Double Operator Integrals.- Multiple Operator Integrals.- Applications.
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