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. (1374). INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITY. , 6(4), -.
. "INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITY". , 6, 4, 1374, -.
. (1374). 'INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITY', , 6(4), pp. -.
. INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITY. , 1374; 6(4): -.

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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