Unbounded -seminorms, biweights, and -representations of partial -algebras: A review.
Trapani, Camillo (2006)
International Journal of Mathematics and Mathematical Sciences
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Trapani, Camillo (2006)
International Journal of Mathematics and Mathematical Sciences
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Bagarello, F., Inoue, A., Trapani, C. (2005)
International Journal of Mathematics and Mathematical Sciences
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J.-P. Antoine, F. Mathot (1987)
Annales de l'I.H.P. Physique théorique
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Bagarello, F., Inoue, A., Trapani, C. (2004)
International Journal of Mathematics and Mathematical Sciences
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Giorgia Bellomonte, Camillo Trapani (2011)
Studia Mathematica
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A generalized procedure for the construction of the inductive limit of a family of C*-algebras is proposed. The outcome is no more a C*-algebra but, under certain assumptions, a locally convex quasi *-algebra, named a C*-inductive quasi *-algebra. The properties of positive functionals and representations of C*-inductive quasi *-algebras are investigated, in close connection with the corresponding properties of positive functionals and representations of the C*-algebras that generate...
J.-P. Antoine, F. Bagarello, C. Trapani (1998)
Annales de l'I.H.P. Physique théorique
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J.-P. Eckmann, J. Fröhlich (1974)
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. ...
Marc A. Rieffel (1976)
Bulletin de la Société Mathématique de France
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