On the transformation semitopological semigroup

Mathematics – Functional Analysis

Scientific paper

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10 pages published in international mathematical forum

Scientific paper

In this paper we introduce the notion of weighted (weakly) almost periodic
compactifcation of a semitopological semigroup and generalize this notion to
corresponding notion for transformation semigroup.The inclusion relation and
equality of some well known function spaces on a weighted transformation
semigroup is also investigated.

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