NDLI: Invariant Subspaces for Algebras of Linear Operators and Amenable Locally Compact Groups

Content Provider	Scilit
Author	Lau, Anthony T. M. Wong, James C. S.
Copyright Year	1988
Description	Let be a locally compact group. We prove in this paper that is amenable if and only if the group algebra (respectively the measure algebra ) satisfies a finite-dimensional invariant subspace property for -dimensional subspaces contained in a subset of a separated locally convex space when (respectively ) is represented as continuous linear operators on . We also prove that for any locally compact group, the Fourier algebra and the Fourier Stieltjes algebra always satisfy for each .
Related Links	http://www.ams.org/proc/1988-102-03/S0002-9939-1988-0928984-8/S0002-9939-1988-0928984-8.pdf
Ending Page	586
Page Count	6
Starting Page	581
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2047227
Journal	Proceedings of the American Mathematical Society
Issue Number	3
Volume Number	102
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Mathematical Physics Linear Operators Invariant Subspaces Amenable Locally Locally Compact Compact Groups Subspaces for Algebras
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Invariant Subspaces for Algebras of Linear Operators and Amenable Locally Compact Groups