A type of GNS-construction for Banach algebras
Representation Theory
2015-04-28 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1504.07069,
title = {A type of GNS-construction for Banach algebras},
author = {Bahram Khodsiani and Ali Rejali},
journal= {arXiv preprint arXiv:1504.07069},
year = {2015}
}