L p -spaces on locally compact groups |
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Authors: | H. Samea |
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Affiliation: | 1. Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran
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Abstract: | In this paper, some relations between L p -spaces on locally compact groups are found. Applying these results proves that for a locally compact group G, the convolution Banach algebras L p (G) ∩ L 1(G) (1 < p ≤ ∞), and A p (G) ∩ L 1(G) (1 < p < ∞) are amenable if and only if G is discrete and amenable. |
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