Quotients of continuous convex functions on nonreflexive Banach spaces

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dc.creatorHolicky, P.
dc.creatorKalenda, O.
dc.creatorVesely, L.
dc.creatorZajicek, L.
dc.date2007-06-05
dc.date.accessioned2026-07-07T08:04:10Z
dc.date.available2026-07-07T08:04:10Z
dc.descriptionOn each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and only if each everywhere defined quotient of two continuous convex functions is a d.c. function. Our construction gives also a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0706.0633
dc.identifierhttp://arxiv.org/abs/0706.0633
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129855
dc.subjectFunctional Analysis
dc.subject46B10; 46B03
dc.titleQuotients of continuous convex functions on nonreflexive Banach spaces
dc.typetext

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