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arXiv.org e-Print Archive
Preprint . 2011
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2011
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Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2011Embargo end date: 01 Jan 2011Publisher:arXiv
Authors: Asadi, Mehdi; Vaezpour, S. Mansour; Soleiman, Hossein;

doi: 10.48550/arxiv.1102.2040

arXiv: http://arxiv.org/abs/1102.2040

Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

Abstract

In this paper we show that by renorming an ordered Banach space, every cone P can be converted to a normal cone with constant K = 1 and consequently due to this approach every cone metric space is really a metric one and every theorem in metric space valid for cone metric space automatically.

This paper has been withdrawn by the author

Keywords

Mathematics - Functional Analysis, FOS: Mathematics, 54C60, 54H25, Functional Analysis (math.FA)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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Average
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