On topologically invariant means on a locally compact group
In: Transactions of the American Mathematical Society, Jg. 151 (1970-02-01), S. 443-443
Online
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Zugriff:
Let Xff be the set of all probability measures on ,BN. Let G be a locally compact, noncompact, amenable group. Then there is a one-one affine mapping of X& into the set of all left invariant means on L"(G). Note that XW is a very big set. If we further assume G to be u-compact, then we have a better result: The set -XW can be embedded affinely into the set of two-sided topologically invariant means on L"'(G). We also give a structure theorem for the set of all topologically left invariant means when G is g-compact.
| Titel: |
On topologically invariant means on a locally compact group
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| Autor/in / Beteiligte Person: | Chou, Ching |
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| Zeitschrift: | Transactions of the American Mathematical Society, Jg. 151 (1970-02-01), S. 443-443 |
| Veröffentlichung: | American Mathematical Society (AMS), 1970 |
| Medientyp: | unknown |
| ISSN: | 0002-9947 (print) |
| DOI: | 10.1090/s0002-9947-1970-0269780-8 |
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