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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
