Title : ( Weighted semigroup measure algebra as a WAP-algebra )
Authors: Hamid Reza Ebrahimi Vishki , Bahram Khodsiani , Ali Rejali ,
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Abstract
A Banach algebra A for which the natural embedding of A into WAP(A) is bounded below, is called a WAP-algebra. In this paper we mainly concern to the weighted measure algebra Mb(S,w); where w is a weight on a semitopological semigroup S. We study those conditions under which Mb(S,w) is a WAP-algebra. The question whether Mb(S,w) is a dual Banach algebra is also investigated. We apply our results for improving some older results in the case where S is discrete.
Keywords
, WAP-algebra, dual Banach algebra, Arens regularity, weak almost periodicity.
@article{paperid:1053297,
author = {Ebrahimi Vishki, Hamid Reza and Bahram Khodsiani and Ali Rejali},
title = {Weighted semigroup measure algebra as a WAP-algebra},
journal = {UPB Scientific Bulletin, Series A},
year = {2016},
volume = {78},
number = {1},
month = {January},
issn = {1223-7027},
pages = {13--24},
numpages = {11},
keywords = {WAP-algebra; dual Banach algebra; Arens regularity; weak almost periodicity.},
}
%0 Journal Article
%T Weighted semigroup measure algebra as a WAP-algebra
%A Ebrahimi Vishki, Hamid Reza
%A Bahram Khodsiani
%A Ali Rejali
%J UPB Scientific Bulletin, Series A
%@ 1223-7027
%D 2016
