On the transformation semitopological semigroup
M. Abolghasemi, A. Rejali, H. R. E. Vishki
TL;DR
This paper introduces weighted almost periodic compactifications for semitopological semigroups and extends these concepts to transformation semigroups, analyzing relationships between various function spaces.
Contribution
It generalizes the concept of weighted almost periodic compactification to transformation semigroups and studies the inclusion relations among related function spaces.
Findings
Established the notion of weighted almost periodic compactification.
Generalized the concept to transformation semigroups.
Investigated inclusion relations among function spaces.
Abstract
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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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · semigroups and automata theory