Quasi *-algebras arising from extensionsof positive linear functionals

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Abstract

In this paper we show how some known quasi *-algebrascan also be obtained through the construction of slight extensions ofnonclosable positive linear functionals defined on dense *-subalgebrasAo of given topological *-algebras. Moreover, we consider also, foreach of the functionals we present, their absolutely convergent extensionsand the GNS *-representations of the quasi *-algebras arising inthe process of extension.
Original languageEnglish
Pages235-249
Number of pages15
Publication statusPublished - 2010

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