A standard theorem concerning the decomposition of a representation of a compact group on a Hilbert space E is generalized to the case when E is locally convex and quasi-complete. As a corollary, it is shown that if E is topologically irreducible, then it is finite dimensional.

Representations of compact groups on topological vector spaces / R. Johnson. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 61:(1976), pp. 131-136. [10.1090/S0002-9939-1976-0430144-6]

Representations of compact groups on topological vector spaces

JOHNSON, RUSSELL ALLAN
1976

Abstract

A standard theorem concerning the decomposition of a representation of a compact group on a Hilbert space E is generalized to the case when E is locally convex and quasi-complete. As a corollary, it is shown that if E is topologically irreducible, then it is finite dimensional.
1976
61
131
136
R. Johnson
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/396082
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