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• W1601194612 abstract "Let X be a hypergroup. In this paper, we define a locally convex topology � on L(X) such that (L(X), �) ∗ 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 ∞ (X) which commute with translations and convolutions. We prove, among other things, that if wap(L(X)) is left stationary, then there is a weakly compact operator T on L(X) ∗ which commutes with convolutions if and only if L(X) ∗∗ has a topologically left invariant functional. For the most part, X is a hypergroup not necessarily with an involution and Haar measure except when explicitly stated." @default.
• W1601194612 created "2016-06-24" @default.
• W1601194612 creator A5010755843 @default.
• W1601194612 date "2003-01-01" @default.
• W1601194612 modified "2023-09-24" @default.
• W1601194612 title "Convolution operators on the dual of hypergroup algebras" @default.
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