| Every Banach space with a w*-separable dual has a 1+ε-equivalent norm with the ball covering property |
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| 基金项目： | supported by National Natural Science Foundation of China (Grant Nos.10471114,10771175) |
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| 摘 要： | A normed space is said to have ball-covering property if its unit sphere can be contained in the union of countably many open balls off the origin. This paper shows that for every ε>0 every Banach space with a w*-separable dual has a 1+ε-equivalent norm with the ball covering property.
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