Bounded elements in certain topological partial *-algebras

• Autorzy: Jean-Pierre Antoine , Camillo Trapani , Francesco Tschinke
• Języki publikacji: EN

Abstrakty

EN

We continue our study of topological partial *-algebras, focusing on the interplay between various partial multiplications. The special case of partial *-algebras of operators is examined first, in particular the link between strong and weak multiplications, on one hand, and invariant positive sesquilinear (ips) forms, on the other. Then the analysis is extended to abstract topological partial *-algebras, emphasizing the crucial role played by appropriate bounded elements, called ℳ-bounded. Finally, some remarks are made concerning representations in terms of so-called partial GC*-algebras of operators.

Kategorie tematyczne

• 47L60: Algebras of unbounded operators; partial algebras of operators
• 46H15: Representations of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 203
• Numer: 3
• Strony: 223-251

Daty

wydano

2011

Twórcy

autor

Jean-Pierre Antoine

• Institut de Recherche, en Mathématique et Physique, Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium

autor

Camillo Trapani

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

autor

Francesco Tschinke

• Dipartimento di Metodi e Modelli Matematici, Facoltà d'Ingegneria, Università di Palermo, I-90128 Palermo, Italy

Identyfikatory

DOI

10.4064/sm203-3-2