• M A Pourabdollah

Articles written in Proceedings – Mathematical Sciences

• Means, homomorphisms, and compactifications of weighted semitopological semigroups

We consider some almost periodic type function algebras on a weighted semitopological semigroup, and using the set of multiplicative means on each of these algebras, we define their corresponding weighted semigroup compactifications. This will constitute an effective tool for investigating the properties of the function algebras concerned. We also show that these compactifications do not retain all the nice properties of the ordinary semigroup compactifications unless we impose some restrictions on the weight functions.

• Transformation semigroup compactifications and norm continuity of weakly almost periodic functions

We prove if there exists a separately continuous action of a topologically right simple semitopological semigroupS on a topological spaceX and ifS acts topologically surjective onX then each weakly almost periodic function onX, with respect toS, is left norm continuous.

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019