Order norm completions of cone metric spaces

Abdeljawad, Thabet

dc.contributor.author	Abdeljawad, Thabet
dc.date.accessioned	2016-06-27T08:03:08Z
dc.date.available	2016-06-27T08:03:08Z
dc.date.issued	2011
dc.identifier.citation	Abdeljawad, T. (2011). Order norm completions of cone metric spaces. Numerical Functional Analysis and Optimization, 32(5), 477-495. http://dx.doi.org/10.1080/01630563.2011.563892	tr_TR
dc.identifier.issn	0163-0563
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1165
dc.description.abstract	In this article, 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, satisfy the desired properties	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Taylor&Francis Inc	tr_TR
dc.relation.isversionof	10.1080/01630563.2011.563892	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Absolute Value Property	tr_TR
dc.subject	Cone Banach	tr_TR
dc.subject	Cone Isometry	tr_TR
dc.subject	Cone Metric	tr_TR
dc.subject	Strongly Minihedral	tr_TR
dc.subject	Uniformly Continuous	tr_TR
dc.title	Order norm completions of cone metric spaces	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Numerical Functional Analysis and Optimization
dc.identifier.volume	32	tr_TR
dc.identifier.issue	5	tr_TR
dc.identifier.startpage	477	tr_TR
dc.identifier.endpage	495	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR