SEGAL ALGEBRAS ON HERMITIAN GROUPS
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AbstractLet G be a locally compact group. We call a Segal algebra S(1)(G) quasi-Hermitian if sigma(S1(G)) ((f) over tilde * f) subset of [0, infinity], for all f is an element of S(1)(G). We show that, when G is a [SIN]-group, then the following are equivalent: (i) G is Hermitian. (ii) Any Segal algebra on G is quasi-Hermitian. (iii) There exits a quasi-Hermitian Segal algebra on G.
All Author(s) ListLeung CW
Journal nameRocky Mountain Journal of Mathematics
Detailed descriptionVolumne 38, Number 6
Year2008
Month1
Day1
Volume Number38
Issue Number6
PublisherRocky Mountain Mathematics Consortium
Pages2009 - 2013
ISSN0035-7596
LanguagesEnglish-United Kingdom
Keywords[SIN]-group; Hermitian group; Segal algebra
Web of Science Subject CategoriesMathematics; MATHEMATICS

Last updated on 2021-20-01 at 00:08