Structure of locally convex quasi C^*-algebras

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概要

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• The completion of a (normed) C*-algebra $\mathscr{A}$0[|| · ||0] with respect to a locally convex topology τ on $\mathscr{A}$0 that makes the multiplication of $\mathscr{A}$0 separately continuous is, in general, a quasi *-algebra, and not a locally convex *-algebra [10], [15]. In this way, one is led to consideration of locally convex quasi C*-algebras, which generalize C*-algebras in the context of quasi *-algebras. Examples are given and the structure of these relatives of C*-algebras is investigated.

• 社団法人 日本数学会の論文
• 2008-04-01

著者

• Inoue Atsushi

  Department Of Applied Mathematics Fukuoka University

• TRAPANI Camillo

  Dipartimento di Fisica, Universita di Palermo

• Trapani Camillo

  Dipartimento Di Matematica Ed Applicazioni Universita Di Palermo

• Inoue Atsushi

  Deparmtnent Of Surgery Kuniyoshi Hospital

• BAGARELLO Fabio

  Dipartimento di Matematica ed Applicazioni Fac Ingegneria Universita di Palermo

• FRAGOULOPOULOU Maria

  Department of Mathematics University of Athens

• Bagarello Fabio

  Dipartimento Di Matematica E Applicazioni Facolta D'ingegneria Universita Di Palermo

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