Group Representations on Reflexive Spaces
For weighted group convoltion measure algebra we construct a representation on reflexsive space.
math.FA↗
arXiv subjects
Bahram Khodsiani
Publications and source records attributed to Bahram Khodsiani.
A type of GNS-construction for Banach algebras
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 separate the points of A could be imbedded in B(E) for some reflexive Banach space E.
math.RT↗
Weakly almost periodic Banach algebras on semi-groups
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 called a WAP-algebra. We show that the second dual of a Banach algebra A is a WAP-algebra, under each Arens products, if and only if A** is a dual Banach algebra. This is equivalent to the Arens regularity of A. For a locally compact foundation semigroup S, we show that the absolutely continuous semigroup measure algebra M_a(S) is a WAP-algebra if and only if the measure algebra M_b(S) is so.
math.FA↗