Quasi *-algebras of measurable operators

• Autorzy: Fabio Bagarello , Camillo Trapani , Salvatore Triolo
• Języki publikacji: EN

Abstrakty

EN

Non-commutative $L^{p}$-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For p ≥ 2 they are also proved to possess a sufficient family of bounded positive sesquilinear forms with certain invariance properties. CQ*-algebras of measurable operators over a finite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra (𝔛,𝔄₀) with a sufficient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type.

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: 2006
• Tom: 172
• Numer: 3
• Strony: 289-305

Daty

wydano

2006

Twórcy

autor

Fabio Bagarello

• Dipartimento di Metodi e Modelli Matematici, Università di Palermo, I-90128 Palermo, Italy

autor

Camillo Trapani

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

autor

Salvatore Triolo

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

Identyfikatory

DOI

10.4064/sm172-3-6