Some structure properties of CQ*-algebras are investigated. The usual multiplication of a quasi *-algebra is generalized by introducing a weak- and strong product. The *-semisemplicity is defined via a suitable family of positive sesquilinear forms and some consequences of this notion are derived. The basic elements of a functional calculus on these partial algebraic structures are discussed.
Bagarello, F., Trapani, C. (1996). CQ*-algebras: Structure properties. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 32(1), 85-116.
CQ*-algebras: Structure properties
BAGARELLO, Fabio;TRAPANI, Camillo
1996-01-01
Abstract
Some structure properties of CQ*-algebras are investigated. The usual multiplication of a quasi *-algebra is generalized by introducing a weak- and strong product. The *-semisemplicity is defined via a suitable family of positive sesquilinear forms and some consequences of this notion are derived. The basic elements of a functional calculus on these partial algebraic structures are discussed.
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