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Multilinear Operator Integrals

- Theory and Applications
Af: Anna Skripka, Anna Tomskova Engelsk Paperback

Multilinear Operator Integrals

- Theory and Applications
Af: Anna Skripka, Anna Tomskova Engelsk Paperback
Tjek vores konkurrenters priser

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.

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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.

Produktdetaljer
Sprog: Engelsk
Sider: 192
ISBN-13: 9783030324056
Indbinding: Paperback
Udgave:
ISBN-10: 3030324052
Udg. Dato: 2 dec 2019
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 2 dec 2019
Forfatter(e): Anna Skripka, Anna Tomskova
Forfatter(e) Anna Skripka, Anna Tomskova


Kategori Funktionsanalyse og transformation


ISBN-13 9783030324056


Sprog Engelsk


Indbinding Paperback


Sider 192


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 2 dec 2019


Oplagsdato 2 dec 2019


Forlag Springer Nature Switzerland AG