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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Multilinear Operator Integrals: Theory and Applications

Multilinear Operator Integrals: Theory and Applications

Skripka, Anna
Tomskova, Anna

Paperback

Series: Lecture Notes in Mathematics, Book 2250

AlgebraGeneral MathematicsPhysics

ISBN10: 3030324052
ISBN13: 9783030324056
Publisher: Springer Nature
Published: Dec 2 2019
Pages: 192
Weight: 0.65
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English

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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