Transformation semigroup compactifications and norm continuity of weakly almost periodic functions |
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| Authors: | A Jalilian M A Pourabdollah |
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| Institution: | (1) Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran |
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| Abstract: | We prove if there exists a separately continuous action of a topologically right simple semitopological semigroupS on a topological spaceX and ifS acts topologically surjective onX then each weakly almost periodic function onX, with respect toS, is left norm continuous. |
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| Keywords: | Transformation semigroup left norm continuous weakly almost periodic |
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