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A remark on the ball-covering property of product spaces

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In this paper, we prove that Banach spaces $X$ and $Y$ have the ball-covering property (BCP) if and only if $(X\times Y, \|\cdot\|_p)$ have the BCP, where $1\leq p \leq\infty.$ Click to show full abstract

In this paper, we prove that Banach spaces $X$ and $Y$ have the ball-covering property (BCP) if and only if $(X\times Y, \|\cdot\|_p)$ have the BCP, where $1\leq p \leq\infty.$

Keywords: ball covering; property product; covering property; remark ball; product spaces

Journal Title: Filomat
Year Published: 2017

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