Extensions of Representable Positive Linear Functionals to Unitized Quasi *-Algebras
Functional Analysis
2013-12-06 v1
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 without unit.
Keywords
Cite
@article{arxiv.1312.1359,
title = {Extensions of Representable Positive Linear Functionals to Unitized Quasi *-Algebras},
author = {Giorgia Bellomonte},
journal= {arXiv preprint arXiv:1312.1359},
year = {2013}
}
Comments
15 pages, presented during the "Ninth Advanced Course in Operator Theory and Complex Analysis" Sevilla, 12 June 2012