NDLI: On Topologically Invariant Means on a Locally Compact Group

Content Provider	Scilit
Author	Chou, Ching
Copyright Year	1970
Description	Let be the set of all probability measures on . Let G be a locally compact, noncompact, amenable group. Then there is a one-one affine mapping of into the set of all left invariant means on . Note that is a very big set. If we further assume G to be -compact, then we have a better result: The set can be embedded affinely into the set of two-sided topologically invariant means on . We also give a structure theorem for the set of all topologically left invariant means when G is -compact.
Related Links	http://www.ams.org/tran/1970-151-02/S0002-9947-1970-0269780-8/S0002-9947-1970-0269780-8.pdf
Ending Page	456
Page Count	14
Starting Page	443
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1995506
Journal	Transactions of the American Mathematical Society
Issue Number	2
Volume Number	151
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Topologically Invariant Locally Compact Compact Group Invariant Means
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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On Topologically Invariant Means on a Locally Compact Group