Representability of positive functionals on abstract star algebras without identity with applications to locally convex *algebras

Bhatt, Subhash J. (1981) Representability of positive functionals on abstract star algebras without identity with applications to locally convex *algebras The Yokohama mathematical journal, 29 (1). pp. 7-16. ISSN 0044-0523

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Abstract

In the context of unbounded representation theory, representable functionals on a star algebra are introduced and are characterized as extendable functionals. This gives faithful representations of certain star algebras as Op*-algebras. Every representation of a pseudo-complete hermitian locally convex *algebra is shown to be essentially selfadjoint. Also proved that a Generalized B*-algebra (without identity) admits a bounded approximate identity which yields the representability of very positive functional.

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Deposited On:07 Sep 2011 04:47
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