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Multilinear Operator Integrals : Theory and Applications / by Anna Skripka, Anna Tomskova.
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View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Skripka, Anna, author.
- Tomskova, Anna, author.
- Series:
- Mathematics and Statistics (Springer-11649)
- Lecture Notes in Mathematics, 0075-8434 ; 2250.
- Lecture Notes in Mathematics, 0075-8434 ; 2250
- Language:
- English
- Subjects (All):
- Operator theory.
- Functional analysis.
- Matrices.
- Algebra.
- Mathematical physics.
- Operator Theory.
- Functional Analysis.
- Linear and Multilinear Algebras, Matrix Theory.
- Mathematical Physics.
- Local Subjects:
- Operator Theory.
- Functional Analysis.
- Linear and Multilinear Algebras, Matrix Theory.
- Mathematical Physics.
- Physical Description:
- 1 online resource (XI, 192 pages) : 15 illustrations.
- Edition:
- First edition 2019.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2019.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- - Introduction. - Notations and Preliminaries
- Double Operator Integrals
- Multiple Operator Integrals
- Applications.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-030-32406-3
- 9783030324063
- Access Restriction:
- Restricted for use by site license.
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