Linear functionals on idempotent spaces: an algebraic approach

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dc.creatorLitvinov, Grigori
dc.creatorMaslov, Victor
dc.creatorShpiz, Grigori
dc.date2000-12-29
dc.date.accessioned2026-07-07T04:39:27Z
dc.date.available2026-07-07T04:39:27Z
dc.descriptionIn this paper, we present an algebraic approach to idempotent functional analysis, which is an abstract version of idempotent analysis. The basic concepts and results are expressed in purely algebraic terms. We consider idempotent versions of certain basic results of linear functional analysis, including the theorem on the general form of a linear functional and the Hahn-Banach and Riesz-Fischer theorems.
dc.description6 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0012268
dc.identifierhttp://arxiv.org/abs/math/0012268
dc.identifierDoklady Mathematics 58:3 (1998) 389-391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60664
dc.subjectFunctional Analysis
dc.subject06F05, 16Y60, 12K10
dc.titleLinear functionals on idempotent spaces: an algebraic approach
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