On ∆-uniform convexity and drop property
S. Rolewicz (1987)
Studia Mathematica
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Displaying similar documents to “A nearly uniformly convex space which is not a $(\beta)$-space”
On ∆-uniform convexity and drop property
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We give a new construction of uniformly convex norms with a power type modulus on super-reflexive spaces based on the notion of dentability index. Furthermore, we prove that if the Szlenk index of a Banach space is less than or equal to ω (first infinite ordinal) then there is an equivalent weak* lower semicontinuous positively homogeneous functional on X* satisfying the uniform Kadec-Klee Property for the weak*-topology (UKK*). Then we solve the UKK or UKK* renorming problems for...