UID:
almahu_9948205002902882
Format:
XI, 192 p. 15 illus.
,
online resource.
Edition:
1st ed. 2019.
ISBN:
9783030324063
Series Statement:
Lecture Notes in Mathematics, 2250
Content:
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.
Note:
- Introduction. - Notations and Preliminaries -- Double Operator Integrals -- Multiple Operator Integrals -- Applications.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783030324056
Additional Edition:
Printed edition: ISBN 9783030324070
Language:
English
Subjects:
Mathematics
DOI:
10.1007/978-3-030-32406-3
URL:
https://doi.org/10.1007/978-3-030-32406-3
URL:
https://www.springer.com/de/book/9783030324056
Bookmarklink