On O^*-representability and C^*-representability of *-algebras

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dc.creatorPopovych, Stanislav
dc.date2007-09-24
dc.date2008-05-10
dc.date.accessioned2026-07-07T09:37:54Z
dc.date.available2026-07-07T09:37:54Z
dc.descriptionCharacterization of the *-subalgebras in the algebra of bounded operators acting on Hilbert space is presented. Sufficient conditions for the existence of a faithful representation in pre-Hilbert space of a *-algebra in terms of its Groebner basis are given. These conditions are generalization of the unshrinkability of monomial *-algebras introduced by C. Lance and P. Tapper. The applications to *-doubles, monomial *-algebras and several other classes of *-algebras are presented.
dc.descriptionrevised; typos corrected, references added
dc.identifierhttps://arxiv.org/abs/0709.3741
dc.identifierhttp://arxiv.org/abs/0709.3741
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160621
dc.subjectOperator Algebras
dc.subjectRepresentation Theory
dc.subject46L05,06F25
dc.titleOn O^*-representability and C^*-representability of *-algebras
dc.typetext

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