Search results for "slight extension"
showing 3 items of 3 documents
Slight extensions of positive linear functionals: two concrete realizations.
2009
In this paper we show, in full details, some example of slight extensions of a nonclosable positive linear functional ώ defined on a dense *-subalgebra Ao of a given topological *-algebra.
A slight extension of the noncommutative integral.
2010
In this paper we continue the analysis undertaken in [4]and in [12] on the general problem of extending positive linear functionals on a *-algebra and we construct a slight extension of the noncommutative integral.
Quasi *-algebras arising from extensions of positive linear functionals
2010
In this paper we show how some known quasi *-algebras can also be obtained through the construction of slight extensions of nonclosable positive linear functionals defined on dense *-subalgebras Ao of given topological *-algebras. Moreover, we consider also, for each of the functionals we present, their absolutely convergent extensions and the GNS *-representations of the quasi *-algebras arising in the process of extension.