Topological partial *-algebras: Basic properties and examples

Fabio Bagarello, Camillo Trapani, Jean-Pierre Antoine

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6 Citazioni (Scopus)

Abstract

Let Θ be a partial *-algebra endowed with a topology τ that makes it into a locally convex topological vector space Θ[τ]. Then Θ is called a topological partial *-algebra if it satisfies a number of conditions, which all amount to require that the topology T fits with the multiplier structure of Θ. Besides the obvious cases of topological quasi *-algebras and CQ *-algebras, we examine several classes of potential topological partial *-algebras, either function spaces (lattices of Lp spaces on [0,1] or on R, amalgam spaces), or partial *-algebras of operators (operators on a partial inner product space, O*-algebras).
Lingua originaleEnglish
pagine (da-a)267-302
Numero di pagine36
RivistaReviews in Mathematical Physics
Volume11
Stato di pubblicazionePublished - 1999

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2600.2610???

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