Some seminorms on quasi *-algebras

• Autorzy: Camillo Trapani
• Języki publikacji: EN

Abstrakty

EN

Different types of seminorms on a quasi *-algebra (𝔄,𝔄₀) are constructed from a suitable family ℱ of sesquilinear forms on 𝔄. Two particular classes, extended C*-seminorms and CQ*-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended C*-seminorms on (𝔄,𝔄₀) is given.

Kategorie tematyczne

• 46K05: General theory of topological algebras with involution

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 158
• Numer: 2
• Strony: 99-115

Daty

wydano

2003

Twórcy

autor

Camillo Trapani

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

Identyfikatory

DOI

10.4064/sm158-2-1