Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach
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Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach
Resource Information
The work Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach 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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 Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach
 Title remainder
 Real C*Algebra Approach
 Statement of responsibility
 by Victor Didenko, Bernd Silbermann
 Language

 eng
 eng
 Summary
 Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o dimensional singular integral equations or equations related to single and double layer potentials. Usually, a mathematically rigorous foundation and error analysis for the approximate solution of such equations is by no means an easy task. One reason is the fact that boundary integral operators generally are neither integral operatorsof the formidentity plus compact operatornor identity plus an operator with a small norm. Consequently, existing standard theories for the numerical analysis of Fredholm integral equations of the second kind are not applicable. In the last 15 years it became clear that the Banach algebra technique is a powerful tool to analyze the stability problem for relevant approximation methods [102, 103, 183, 189]. The starting point for this approach is the observation that the ? stability problem is an invertibility problem in a certain BanachorC algebra. As a rule, this algebra is very complicated – and one has to ?nd relevant subalgebras to use such tools as local principles and representation theory. However,invariousapplicationsthereoftenarisecontinuousoperatorsacting on complex Banach spaces that are not linear but only additive – i. e. , A(x+y)= Ax+Ay for all x,y from a given Banach space. It is easily seen that additive operators 1 are Rlinear provided they are continuous
 Dewey number
 512.55
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

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 HiFmkZLvzXs
 Language note
 English
 LC call number
 QA150272
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Frontiers in Mathematics,
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