Characterizations of universal finite representability and b-convexity of Banach spaces via ball coverings |
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Authors: | Wen Zhang |
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Institution: | 1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China
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Abstract: | By a ball-covering B of a Banach space X, wemean that B is a collection of open (or closed) balls off the origin whose union contains the unit sphere of X; and X is said to have the ball-covering property provided it admits a ball-covering of countably many balls. This paper shows that universal finite representability and B-convexity of X can be characterized by properties of ball-coverings of its finite dimensional subspaces. |
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Keywords: | Ball-covering finite representability convexity universal space Banach space |
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