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 |
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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 |
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dc.language.iso |
eng |
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dc.publisher |
Taylor&Francis Inc |
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dc.relation.isversionof |
10.1080/01630563.2011.563892 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Absolute Value Property |
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dc.subject |
Cone Banach |
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dc.subject |
Cone Isometry |
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dc.subject |
Cone Metric |
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dc.subject |
Strongly Minihedral |
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dc.subject |
Uniformly Continuous |
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dc.title |
Order norm completions of cone metric spaces |
tr_TR |
dc.type |
article |
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dc.relation.journal |
Numerical Functional Analysis and Optimization |
|
dc.identifier.volume |
32 |
tr_TR |
dc.identifier.issue |
5 |
tr_TR |
dc.identifier.startpage |
477 |
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dc.identifier.endpage |
495 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü |
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