Multilinear operator integrals : theory and applications

Bibliographic Information

Multilinear operator integrals : theory and applications

Anna Skripka, Anna Tomskova

(Lecture notes in mathematics, 2250)

Springer, c2019

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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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Details

  • NCID
    BB29466156
  • ISBN
    • 9783030324056
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham
  • Pages/Volumes
    xi, 190 p.
  • Size
    24 cm
  • Parent Bibliography ID
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