WEIGHTED SEMITOPOLOGICAL SEMIGROUPS ANDTHEIR COMPACTIFICATIONS

In the recent years, a number of authors have studied various types of functions and measures on weighted semigroups (specially weighted groups). The general theorems on which this talk is based are the study of relations of compactifications of a weighted semitopological semigroup (S,w), and m-admissible subalgebras of C(S,w), the C* -algebra of all continuous bounded functions on S with respect to||f||w := ||f/w||∞. The present correspondence plays a pivotal role for the study of the involved function algebras.

کلیدواژه ها:

Semitopological semigroup ، compactification ، m-admissible