The triangle of operators, topologies, bornologies

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dc.creatorWong, Ngai-Ching
dc.date2005-06-10
dc.date.accessioned2026-07-07T05:20:39Z
dc.date.available2026-07-07T05:20:39Z
dc.descriptionThis paper discusses two common techniques in functional analysis: the topological method and the bornological method. In terms of Pietsch's operator ideals, we establish the equivalence of the notions of operators, topologies and bornologies. The approaches in the study of locally convex spaces of Grothendieck (via Banach space operators), Randtke (via continuous seminorms) and Hogbe-Nlend (via convex bounded sets) are compared.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math/0506183
dc.identifierhttp://arxiv.org/abs/math/0506183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75453
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47L20, 46A03, 46A11, 46A17
dc.titleThe triangle of operators, topologies, bornologies
dc.typetext

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