The Measure Algebra of a Locally Compact Hypergroup
نویسندگان
چکیده
منابع مشابه
The associated measure on locally compact cocommutative KPC-hypergroups
We study harmonic analysis on cocommutative KPC-hyper-groups, which is a generalization of DJS-hypergroups, introduced by Kalyuzhnyi, Podkolzin and Chapovsky. We prove that there is a relationship between the associated measures $mu$ and $gamma mu$, where $mu$ is a Radon measure on KPC-hypergroup $Q$ and $gamma$ is a character on $Q$.
متن کاملA direct decomposition of the measure algebra of a locally compact abelian group
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متن کاملthe associated measure on locally compact cocommutative kpc-hypergroups
we study harmonic analysis on cocommutative kpc-hyper-groups, which is a generalization of djs-hypergroups, introduced by kalyuzhnyi, podkolzin and chapovsky. we prove that there is a relationship between the associated measures $mu$ and $gamma mu$, where $mu$ is a radon measure on kpc-hypergroup $q$ and $gamma$ is a character on $q$.
متن کامل-
Let K be a (commutative) locally compact hypergroup with a left Haar measure. Let L1(K) be the hypergroup algebra of K and UCl(K) be the Banach space of bounded left uniformly continuous complex-valued functions on K. In this paper we show, among other things, that the topological (algebraic) center of the Banach algebra UCl(K)* is M(K), the measure algebra of K.
متن کاملHomological Algebra with Locally Compact Abelian Groups
In this article we study locally compact abelian (LCA) groups from the viewpoint of derived categories, using that their category is quasi-abelian in the sense of J.-P. Schneiders. We define a well-behaved derived Hom-complex with values in the derived category of Hausdorff topological abelian groups. Furthermore we introduce a smallness condition for LCA groups and show that such groups have a...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1973
ISSN: 0002-9947
DOI: 10.2307/1996507