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Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

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arxiv 1102.2040 v3 pith:JYQBPDLV submitted 2011-02-10 math.FA

classification math.FA
keywords conemetricspaceeverybanachrenormingspacesapproach
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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.

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