Unbounded C*-Seminorms and Biweights on Partial *-Algebras |
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Authors: | Camillo Trapani Francesco Tschinke |
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Institution: | (1) Dipartimento di Matematica ed Applicazioni, Università di Palermo, 90123 Palermo, Italy;(2) Dipartimento di Metodi e Modelli Matematici, Università di Palermo, 90128 Palermo, Italy |
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Abstract: | Unbounded C*-seminorms generated by families of biweights on a partial *-algebra are considered and the admissibility of biweights
is characterized in terms of unbounded C*-seminorms they generate. Furthermore, it is shown that, under suitable assumptions,
when the family of biweights consists of all those ones which are relatively bounded with respect to a given C*-seminorm q, it can be obtained an expression for q analogous to that one which holds true for the norm of a C*-algebra. |
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Keywords: | Primary 46K10 Secondary 47L60 |
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