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arXiv · 1312.1359

Extensions of Representable Positive Linear Functionals to Unitized Quasi *-Algebras

Giorgia Bellomonte
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Abstract

It is known that, under certain conditions, *-representability and extensibility to the unitized *-algebra of a positive linear functional, defined on a *-algebra without unit, are equivalent. In this paper, a new condition for an analogous result is given for the case of a hermitian linear functional defined on a quasi *-algebra $(\A,\Ao)$ without unit.

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BibTeXRIS

Giorgia Bellomonte. 2013-12-04. Extensions of Representable Positive Linear Functionals to Unitized Quasi *-Algebras. https://doi.org/10.1007/s00009-013-0259-z

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