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INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITY | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 12، دوره 6، شماره 4، اسفند 1995 اصل مقاله (220.8 K) | ||
چکیده | ||
We consider the space of weakly almost periodic functions on a transformation semigroup (S, X , ?) and show that if X is a locally compact noncompact uniform space, and ? is a separately continuous, separately proper, and equicontinuous action of S on X, then every continuous function on X, vanishing at infinity is weakly almost periodic. We also use a number of diverse examples to show that the conditions we have imposed on the transformation semigroup are almost essential for the inclusion to hold | ||
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