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Chilin V.I.

  1. The Criterion of Completely Reducibility for Continuous Representations of Group Algebras.

    Fri, 08/20/2010 - 15:01 — SomNambul
    Authors: Chilin V.I., Muminov K.K
    Subjects: Representation Theory
    Abstract

    It is shown that every nonsingular continuous representation of the group
    algebra $L^{1}(G)$ in Banach spaces is completely reducible if and only if $G$
    is a compact group.

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