NDLI: Representations of Compact Groups on Topological Vector Spaces: Some Remarks

Content Provider	Scilit
Author	Johnson, Russell A.
Copyright Year	1976
Description	A standard theorem concerning the decomposition of a representation of a compact group on a Hilbert space is generalized to the case when is locally convex and quasi-complete. As a corollary, it is shown that if is topologically irreducible, then it is finite dimensional.
Related Links	https://www.ams.org/proc/1976-061-01/S0002-9939-1976-0430144-6/S0002-9939-1976-0430144-6.pdf
Ending Page	136
Page Count	6
Starting Page	131
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2041678
Journal	Proceedings of the American Mathematical Society
Issue Number	1
Volume Number	61
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Topological Vector Compact Groups Vector Spaces Remarks Representations of Compact
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Representations of Compact Groups on Topological Vector Spaces: Some Remarks