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010   $a3-030-32406-0
024 7 $a10.1007/978-3-030-32406-3
035   $a(CKB)4100000009939685
035   $a(DE-He213)978-3-030-32406-3
035   $a(MiAaPQ)EBC5988099
035   $a(PPN)242817165
035   $a(EXLCZ)994100000009939685
100   $a20191201d2019      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMultilinear Operator Integrals $eTheory and Applications /$fby Anna Skripka, Anna Tomskova
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XI, 192 p. 15 illus.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2250
311 08$a3-030-32405-2 
327   $a- Introduction. - Notations and Preliminaries -- Double Operator Integrals -- Multiple Operator Integrals -- Applications.
330   $aThis book provides a comprehensive treatment of multilinear operator integral techniques. The exposition is structured to be suitable for a course on methods and applications of multilinear operator integrals and also as a research aid. The ideas and contributions to the field are surveyed and up-to-date results and methods are presented. Most practical constructions of multiple operator integrals are included along with fundamental technical results and major applications to smoothness properties of operator functions (Lipschitz and Hölder continuity, differentiability), approximation of operator functions, spectral shift functions, spectral flow in the setting of noncommutative geometry, quantum differentiability, and differentiability of noncommutative L^p-norms. Main ideas are demonstrated in simpler cases, while more involved, technical proofs are outlined and supplemented with references. Selected open problems in the field are also presented.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v2250
606   $aOperator theory
606   $aFunctional analysis
606   $aAlgebras, Linear
606   $aMathematical physics
606   $aOperator Theory
606   $aFunctional Analysis
606   $aLinear Algebra
606   $aMathematical Physics
615  0$aOperator theory.
615  0$aFunctional analysis.
615  0$aAlgebras, Linear.
615  0$aMathematical physics.
615 14$aOperator Theory.
615 24$aFunctional Analysis.
615 24$aLinear Algebra.
615 24$aMathematical Physics.
676   $a515.724
700   $aSkripka$b Anna$4aut$4http://id.loc.gov/vocabulary/relators/aut$0772566
702   $aTomskova$b Anna$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910360850203321
996   $aMultilinear Operator Integrals$92541036
997   $aUNINA