Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

Mathematics – Functional Analysis

Scientific paper

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5 pages

Scientific paper

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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