Topological aspects of quasi *-algebras with sufficiently many *-representations

2023/04/12 by Bellomonte, Giorgia, Trapani, Camillo
#46K10 #47A07 #47L60 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary 46K05 #Secondary 08A55

paper · doi:10.48550/arxiv.2304.05725

Abstract

Quasi *-algebras possessing a sufficient family M of invariant positive sesquilinear forms carry several topologies related to M which make every *-representation continuous. This leads to define the class of locally convex quasi GA*-algebras whose main feature consists in the fact that the family of their bounded elements, with respect to the family M, is a dense C*-algebra.

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