Limit Operators and Their Applications in Operator Theory
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The work Limit Operators and Their Applications in Operator Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Limit Operators and Their Applications in Operator Theory
Resource Information
The work Limit Operators and Their Applications in Operator Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Limit Operators and Their Applications in Operator Theory
 Statement of responsibility
 by Vladimir Rabinovich, Steffen Roch, Bernd Silbermann
 Language

 eng
 eng
 Summary
 This text has two goals. It describes a topic: band and banddominated operators and their Fredholm theory, and it introduces a method to study this topic: limit operators. Banddominated operators. Let H = [2(Z) be the Hilbert space of all squared summable functions x : Z + Xi provided with the norm 2 2 X IIxl1 :=L I iI . iEZ It is often convenient to think of the elements x of [2(Z) as twosided infinite sequences (Xi)iEZ. The standard basis of [2(Z) is the family of sequences (ei)iEZ where ei = (. . . ,0,0, 1,0,0, . . . ) with the 1 standing at the ith place. Every bounded linear operator A on H can be described by a twosided infinite matrix (aij)i,jEZ with respect to this basis, where aij = (Aej, ei)' The band operators on H are just the operators with a matrix representation of finite bandwidth, i. e. , the operators for which aij = 0 whenever Ii  jl > k for some k. Operators which are in the norm closure ofthe algebra of all band operators are called banddominated. Needless to say that band and band dominated operators appear in numerous branches of mathematics. Archetypal examples come from discretizations of partial differential operators. It is easy to check that every band operator can be uniquely written as a finite sum L dkVk where the d are multiplication operators (i. e
 Dewey number
 515.724
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

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 Image bit depth
 0
 Language note
 English
 LC call number
 QA329329.9
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Operator Theory: Advances and Applications,
 Series volume
 150
Context
Context of Limit Operators and Their Applications in Operator TheoryWork of
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