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03334nam a2200553 4500 |
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978-3-030-32406-3 |
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DE-He213 |
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20191201141258.0 |
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cr nn 008mamaa |
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191201s2019 gw | s |||| 0|eng d |
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|a 9783030324063
|9 978-3-030-32406-3
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|a 10.1007/978-3-030-32406-3
|2 doi
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|d GrThAP
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|a 515.724
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|a Skripka, Anna.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Multilinear Operator Integrals
|h [electronic resource] :
|b Theory and Applications /
|c by Anna Skripka, Anna Tomskova.
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| 250 |
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|a 1st ed. 2019.
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| 264 |
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1 |
|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2019.
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| 300 |
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|a XI, 192 p. 15 illus.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2250
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| 505 |
0 |
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|a - Introduction. - Notations and Preliminaries -- Double Operator Integrals -- Multiple Operator Integrals -- Applications.
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| 520 |
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|a 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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|a Operator theory.
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|a Functional analysis.
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| 650 |
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|a Matrix theory.
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| 650 |
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|a Algebra.
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| 650 |
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|a Mathematical physics.
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| 650 |
1 |
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|a Operator Theory.
|0 http://scigraph.springernature.com/things/product-market-codes/M12139
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| 650 |
2 |
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|a Functional Analysis.
|0 http://scigraph.springernature.com/things/product-market-codes/M12066
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| 650 |
2 |
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|a Linear and Multilinear Algebras, Matrix Theory.
|0 http://scigraph.springernature.com/things/product-market-codes/M11094
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| 650 |
2 |
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|a Mathematical Physics.
|0 http://scigraph.springernature.com/things/product-market-codes/M35000
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| 700 |
1 |
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|a Tomskova, Anna.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783030324056
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783030324070
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| 830 |
|
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2250
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-030-32406-3
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-LNM
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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