2008 年 60 巻 2 号 p. 511-549
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.
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