Tensor products in the category of topological vector spaces are not associative

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dc.creatorGlockner, Helge
dc.date2003-07-03
dc.date2004-04-30
dc.date.accessioned2026-07-07T04:59:23Z
dc.date.available2026-07-07T04:59:23Z
dc.descriptionWe show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces. The same pathology occurs for tensor products of Hausdorff abelian topological groups.
dc.description7 pages; v2: new version focusses on the real case
dc.identifierhttps://arxiv.org/abs/math/0307041
dc.identifierhttp://arxiv.org/abs/math/0307041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67963
dc.subjectFunctional Analysis
dc.subject46A16, 46A32, 22A05
dc.titleTensor products in the category of topological vector spaces are not associative
dc.typetext

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