JournalsprimsVol. 32, No. 1pp. 85–116

CQ*-Algebras: Structure Properties

  • Fabio Bagarello

    Università degli Studi di Palermo, Italy
  • Camillo Trapani

    Università degli Studi di Palermo, Italy
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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.

Cite this article

Fabio Bagarello, Camillo Trapani, CQ*-Algebras: Structure Properties. Publ. Res. Inst. Math. Sci. 32 (1996), no. 1, pp. 85–116

DOI 10.2977/PRIMS/1195163181