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 originale | English |
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pagine (da-a) | 267-302 |
Numero di pagine | 36 |
Rivista | Reviews in Mathematical Physics |
Volume | 11 |
Stato di pubblicazione | Published - 1999 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.3100.3109???
- ???subjectarea.asjc.2600.2610???