Hilbert space structure and positive operators

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dc.creatorDrivaliaris, D.
dc.creatorYannakakis, N.
dc.date2008-05-30
dc.date.accessioned2026-07-07T09:41:52Z
dc.date.available2026-07-07T09:41:52Z
dc.descriptionLet X be a real Banach space. We prove that the existence of an injective, positive, symmetric and not strictly singular operator from X into its dual implies that either X admits an equivalent Hilbertian norm or it contains a nontrivially complemented subspace which is isomorphic to a Hilbert space. We also treat the non-symmetric case.
dc.identifierhttps://arxiv.org/abs/0805.4721
dc.identifierhttp://arxiv.org/abs/0805.4721
dc.identifierJournal of Mathematical Analysis and Applications 305 (2) (2005), pp. 560-565
dc.identifierdoi:10.1016/j.jmaa.2004.12.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161982
dc.subjectFunctional Analysis
dc.subject46B03; 46C15; 47B99
dc.titleHilbert space structure and positive operators
dc.typetext

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