Extensions of Representable Positive Linear Functionals to Unitized Quasi *-Algebras
arXiv:1312.1359 · doi:10.1007/s00009-013-0259-z
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.
arXiv comment15 pages, presented during the "Ninth Advanced Course in Operator Theory and Complex Analysis" Sevilla, 12 June 2012