Convex-transitive characterizations of Hilbert spaces

Simple item page
dc.creatorTalponen, Jarno
dc.date2007-05-17
dc.date2007-05-18
dc.date.accessioned2026-07-07T08:02:02Z
dc.date.available2026-07-07T08:02:02Z
dc.descriptionIn this paper we investigate real convex-transitive Banach spaces X, which admit a 1-dimensional bicontractive projection P on X. Various mild conditions regarding the weak topology and the geometry of the norm are provided, which guarantee that such an X is in fact isometrically a Hilbert space. The results obtained can be regarded as partial answers to the well-known Banach-Mazur rotation problem, as well as to a question posed by B. Randrianantoanina in 2002 about convex-transitive spaces.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0705.2526
dc.identifierhttp://arxiv.org/abs/0705.2526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129107
dc.subjectFunctional Analysis
dc.subject46B04; 46C15
dc.titleConvex-transitive characterizations of Hilbert spaces
dc.typetext

Files

Collections

arXiv