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20 April 2024

» arxiv » 0809.0306

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On Bounded Approximate Identities and Existence of Dense Ideals in Real Locally C*- and Locally JB-Algebras
Alexander A. Katz ; Oleg Friedman ;
Date:	1 Sep 2008
Abstract:	It has been established by Inoue that a complex locally C-algebra with a dense ideal posesses a bounded approximate identity which belonges to that ideal. It has been shown by Fritzsche that if a unital complex locally C-algebra has an unbounded element then it also has a dense one-sided ideal. In the present paper we obtain analogues of the aforementioned results of Inoue and Fritzsche for real locally C-algebras (projective limits of projective families of real C-algebras), and for locally JB-algebras (projective limits of projective families of JB-algebras).
Source:	arXiv, 0809.0306
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