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.
Bellomonte, G., Trapani, C. (2023). Topological aspects of quasi *-algebras with sufficiently many *-representations. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 17(4) [10.1007/s43037-023-00309-7].
Topological aspects of quasi *-algebras with sufficiently many *-representations
Bellomonte, G
;Trapani, C
2023-10-09
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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