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SEMIGROUP ACTIONS , WEAK ALMOST PERIODICITY, AND INVARIANT MEANS | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 12، دوره 1، شماره 2، خرداد 1990 اصل مقاله (364.27 K) | ||
چکیده | ||
Let S be a topological semigroup acting on a topological space X. We develop the theory of (weakly) almost periodic functions on X, with respect to S, and form the (weakly) almost periodic compactifications of X and S, with respect to each other. We then consider the notion of an action of Son a Banach space, and on its dual, and after defining S-invariant means for such a space, we give a result concerning the existence of such means, and apply it to prove the existence of a G-invariant mean on the space of weakly almost periodic functions defined on a topological space on which a topological group G acts. | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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آمار تعداد مشاهده مقاله: 812 تعداد دریافت فایل اصل مقاله: 807 |