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Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

2011/02/10 by Asadi, Mehdi, Vaezpour, S. Mansour, Soleiman, Hossein
#54C60 #54H25 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1102.2040

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.

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