Topological partial *-algebras: Basic properties and examples
(1999) Reviews in Mathematical Physics : a journal for survey and expository articles in the field of mathematical physics — Vol. 11, n° 3, p. 267-302 (1999)
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- Authors
Antoine, Jean-Pierre 
- Abstract
- Let U be a partial *-algebra endowed with a topology tau that makes it into a locally convex topological vector space U[tau]. Then U is called a topological partial *-algebra if it satisfies a number of conditions, which all amount to require that the topology tau fits with the multiplier structure of U. 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 L-p spaces on [0, 1] or on R, amalgam spaces), or partial *-algebras of operators (operators on a partial. inner product space, O*-algebras).
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Citations
Antoine, J.-P., Bagarello, F., & Trapani, C. (1999). Topological partial *-algebras: Basic properties and examples. Reviews in Mathematical Physics : a journal for survey and expository articles in the field of mathematical physics, 11(3), 267-302. https://doi.org/10.1142/S0129055X99000106 (Original work published 1999)