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META-CENTRALIZERS OF NON-LOCALLY COMPACT GROUP ALGEBRAS

Part of: Abstract harmonic analysis Topological and differentiable algebraic systems General nonassociative rings

Published online by Cambridge University Press:  18 December 2014

S. V. LUDKOVSKY
S. V. LUDKOVSKY*
Affiliation:
Department of Applied Mathematics, Moscow State Technical University MIREA, av. Vernadsky 78, Moscow 119454, Russia e-mail: sludkowski@mail.ru
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Abstract

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Meta-centralizers of non-locally compact group algebras are studied. Theorems about their representations with the help of families of generalized measures are proved. Isomorphisms of group algebras are investigated in relation with meta-centralizers.

MSC classification

Primary: 17A01: General theory
Secondary: 17A99: None of the above, but in this section 22A10: Analysis on general topological groups 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc. 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 2 , May 2015 , pp. 349 - 364
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

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