5 papers
Group Representations on Reflexive Spaces
Bahram Khodsiani, Ali Rejali
For weighted group convoltion measure algebra we construct a representation on reflexsive space.
A type of GNS-construction for Banach algebras
Bahram Khodsiani, Ali Rejali
We show that every Banach algebra A admits a representation on a certain Banach space E. In particular, any Banach algebra A contained in autoperiodic functionals on A such that se…
Weighted semigroup measure algebra as a WAP-algebra
H. R. Ebrahimi Vishki, B. Khodsiani, A. Rejali
Banach algebra A for which the natural embedding x into x^ of A into WAP(A)* is bounded below; that is, for some m in R with m > 0 we have ||x^|| > m ||x||, is called a WAP-algebra…
Weakly almost periodic Banach algebras on semi-groups
Bahram Khodsiani, Ali Rejali
Let WAP(A) be the space of all weakly almost periodic functionals on a Banach algebra A. The Banach algebra A for which the natural embedding of A into WAP(A)* is bounded below is…
Arens regularity of certain weighted semigroup algebras and countability
B. Khodsiani, A. Rejali, H. R. Ebrahimi Vishki
It is known that every countable semigroup admits a weight w for which the semigroup algebra l_1(S,w) is Arens regular and no uncountable group admits such a weight; see [4]. In th…