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math.FA2008
Convexity and smoothness of Banach spaces with numerical index one
Vladimir Kadets, Miguel Martin, Javier Meri +1
We show that a Banach space with numerical index one cannot enjoy good convexity or smoothness properties unless it is one-dimensional. For instance, it has no WLUR points in its u…
math.FA2008
Slicely Countably Determined Banach spaces
Antonio Aviles, Vladimir Kadets, Miguel Martin +2
We introduce the class of slicely countably determined Banach spaces which contains in particular all spaces with the RNP and all spaces without copies of . We present many…