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arXiv · 1504.07069

A type of GNS-construction for Banach algebras

Bahram Khodsiani·Ali Rejali
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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.

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Bahram Khodsiani, Ali Rejali. 2015-04-27. A type of GNS-construction for Banach algebras. https://arxiv.org/abs/1504.07069

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