منابع مشابه
MODULE HOMOMORPHISMS ASSOCIATED WITH HYPERGROUP ALGEBRAS
Let X be a hypergroup. In this paper, we study the homomorphisms on certain subspaces of L(X)* which are weak*-weak* continuous.
متن کاملSpectral Synthesis in Segal Algebras on Hypergroups
Warner (1966), Hewitt and Ross (1970), Yap (1970), and Yap (1971) extended the so-called Ditkin's condition for the group algebra L\G) of a locally compact abelian group G to the algebras L(G) Π L(G), dense subalgebras of L{G) which are essential Banach LHO-modules, LKG) Π L(G)(1 ^ p < co) and Segal algebras respectively. Chilana and Ross (1978) proved that the algebra L^K) satisfies a stronger...
متن کاملOn Planar Algebras Arising from Hypergroups
Let A be an associative algebra with identity and with trace. We study the family of planar algebras on 1-boxes that arise from A in the work of Jones, but with the added assumption that the labels on the 1-boxes come from a discrete hypergroup in the sense of Sunder. This construction equips the algebra P A n with a canonical basis, B A n , which turns out to be a \tabular" basis. We examine s...
متن کاملConvolution operators on the dual of hypergroup algebras
Let X be a hypergroup. In this paper, we define a locally convex topology β on L(X) such that (L(X), β) with the strong topology can be identified with a Banach subspace of L(X). We prove that if X has a Haar measure, then the dual to this subspace is LC(X) ∗∗ = cl{F ∈ L(X);F has compact carrier}. Moreover, we study the operators on L(X) and L 0 (X) which commute with translations and convoluti...
متن کاملAmenability and weak amenability of l-algebras of polynomial hypergroups
We investigate amenability and weak amenability of the l1-algebra of polynomial hypergroups. We derive conditions for (weak) amenability adapted to polynomial hypergroups and show that these conditions are often not satisfied. However, for the hypergroup induced by Chebyshev polynomials of the first kind we prove amenability.
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ژورنال
عنوان ژورنال: Journal of Soviet Mathematics
سال: 1987
ISSN: 0090-4104,1573-8795
DOI: 10.1007/bf01088201