Ball-Covering Property in Uniformly Non- Banach Spaces and Application

Shaoqiang Shang and Yunan Cui

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

This paper shows the following. (1) is a uniformly non- space if and only if there exist two constants such that, for every 3-dimensional subspace of , there exists a ball-covering of with or which is -off the origin and . (2) If a separable space has the Radon-Nikodym property, then has the ball-covering property. Using this general result, we find sufficient conditions in order that an Orlicz function space has the ball-covering property.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:873943

DOI: 10.1155/2013/873943

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