Local Multipliers of C*Algebras
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The work Local Multipliers of C*Algebras 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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Local Multipliers of C*Algebras
Resource Information
The work Local Multipliers of C*Algebras 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
 Local Multipliers of C*Algebras
 Statement of responsibility
 by Pere Ara, Martin Mathieu
 Language

 eng
 eng
 Summary
 Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The BerberianQuigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C*algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A". This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A" is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the wellknown KadisonSakai theorem ensuring that every derivation 8 on a C*algebra A becomes inner in A", though 8 may not be inner in A. The transition from A to A" however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C*algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A". In such a situation, A is typically enlarged by its multiplier algebra M(A)
 Dewey number
 512/.55
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

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 Image bit depth
 0
 Language note
 English
 LC call number
 QA150272
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Springer Monographs in Mathematics,
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