On Bounded Approximate Identities and Existence of Dense Ideals in Real Locally C*- and Locally JB-Algebras

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dc.creatorKatz, Alexander A.
dc.creatorFriedman, Oleg
dc.date2008-09-01
dc.date.accessioned2026-07-07T09:59:47Z
dc.date.available2026-07-07T09:59:47Z
dc.descriptionIt 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).
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0809.0306
dc.identifierhttp://arxiv.org/abs/0809.0306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168151
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46K05, 46H05, 46H70, 17C50, 46L05 (Primary) 46A03, 46K70, 17C65 (Secondary)
dc.titleOn Bounded Approximate Identities and Existence of Dense Ideals in Real Locally C*- and Locally JB-Algebras
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