Order norm completion of cone metric spaces

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dc.contributor.authorAbdeljawad, Thabet
dc.date.accessioned2024-07-12T20:56:16Z
dc.date.available2024-07-12T20:56:16Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractIn this paper a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are constructed by means of an equivalence relation defined via an ordered cone norm on the Banach space E whose cone is strongly minihedral and ordered closed. This order norm has to satisfy the generalized absolute value property. In particular if E is a Dedekind complete Banach lattice then together with its absolute value norm they satisfy the desired properties.en_US
dc.identifier.citationAbdeljawad, T. (2009). Order norm completion of cone metric spaces. Maltepe Üniversitesi. s. 372.en_US
dc.identifier.endpage373en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage372en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2949
dc.institutionauthorAbdeljawad, Thabet
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07673
dc.subjectCone metric spaceen_US
dc.subjectCone norm spaceen_US
dc.subjectStrongly minihedralen_US
dc.subjectCone isometryen_US
dc.subjectAbsolute value preopertyen_US
dc.titleOrder norm completion of cone metric spacesen_US
dc.typeConference Object
dspace.entity.typePublication

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