Characterizations of Universal Finite Representability and B-convexity of Banach Spaces via Ball Coverings
- 数学科学－已发表论文 
By a ball-covering B of a Banach space X, we mean 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.
CitationACTA MATHEMATICA SINICA-ENGLISH SERIES，2012,28（7）：1369-1374