Partial *-algebras of closed operators and their commutants. II. Commutants and bicommutants
J.-P. Antoine, F. Mathot, C. Trapani (1987)
Annales de l'I.H.P. Physique théorique
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J.-P. Antoine, F. Mathot, C. Trapani (1987)
Annales de l'I.H.P. Physique théorique
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F. Bagarello, C. Trapani (1994)
Annales de l'I.H.P. Physique théorique
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Antoine, Jean-Pierre, Trapani, Camillo, Tschinke, Francesco (2006)
International Journal of Mathematics and Mathematical Sciences
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Jean-Pierre Antoine, Camillo Trapani, Francesco Tschinke (2011)
Studia Mathematica
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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....
Trapani, Camillo (2006)
International Journal of Mathematics and Mathematical Sciences
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J.-P. Antoine, F. Bagarello, C. Trapani (1998)
Annales de l'I.H.P. Physique théorique
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Camillo Trapani (2005)
Banach Center Publications
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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. ...
J.-P. Antoine, W. Karwowski (1989)
Annales de l'I.H.P. Physique théorique
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Bagarello, F., Inoue, A., Trapani, C. (2005)
International Journal of Mathematics and Mathematical Sciences
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