*-Representations, seminorms and structure properties of normed quasi *-algebras

• Autorzy: Camillo Trapani
• Języki publikacji: EN

Abstrakty

EN

The class of *-representations of a normed quasi *-algebra (𝔛,𝓐₀) is investigated, mainly for its relationship with the structure of (𝔛,𝓐₀). The starting point of this analysis is the construction of GNS-like *-representations of a quasi *-algebra (𝔛,𝓐₀) defined by invariant positive sesquilinear forms. The family of bounded invariant positive sesquilinear forms defines some seminorms (in some cases, C*-seminorms) that provide useful information on the structure of (𝔛,𝓐₀) and on the continuity properties of its *-representations.

Kategorie tematyczne

• 47L60: Algebras of unbounded operators; partial algebras of operators
• 46L08: C * -modules
• 46L51: Noncommutative measure and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 186
• Numer: 1
• Strony: 47-75

Daty

wydano

2008

Twórcy

autor

Camillo Trapani

• Dipartimento di Matematica ed Applicazioni, Università di Palermo, I-90123 Palermo, Italy

Identyfikatory

DOI

10.4064/sm186-1-6