C*-seminorms on partial *-algebras: an overview

• Autorzy: Camillo Trapani
• Języki publikacji: EN

Abstrakty

EN

The main facts about unbounded C*-seminorms on partial *-algebras are reviewed and the link with the representation theory is discussed. In particular, starting from the more familiar case of *-algebras, we examine C*-seminorms that are defined from suitable families of positive linear or sesquilinear forms, mimicking the construction of the Gelfand seminorm for Banach *-algebras. The admissibility of these forms in terms of the (unbounded) C*-seminorms they generate is characterized.

Kategorie tematyczne

• 46K05: General theory of topological algebras with involution

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 67
• Numer: 1
• Strony: 369-384

Daty

wydano

2005

Twórcy

autor

Camillo Trapani

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

Identyfikatory

DOI

10.4064/bc67-0-30