Convexity and smoothness of Banach spaces with numerical index one
نویسندگان
چکیده
منابع مشابه
Real Banach Spaces with Numerical Index 1
We show that an infinite-dimensional real Banach space with numerical index 1 satisfying the Radon– Nikodỳm property contains l1. It follows that a reflexive or quasi-reflexive real Banach space cannot be re-normed to have numerical index 1, unless it is finite-dimensional.
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2009
ISSN: 0019-2082
DOI: 10.1215/ijm/1264170844