Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/625

 Title: On Uniformly Convex and Uniformly Kadec-Klee Renomings Authors: Lancien, Gilles Keywords: RenormingSzlenk IndexDentabilityUniformly ConvexKadec-KleeSuper-ReflexiveScattered CompactLp Spaces Issue Date: 1995 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 21, No 1, (1995), 1p-18p Abstract: 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 Lp(X) spaces and C(K) spaces for K scattered compact space. URI: http://hdl.handle.net/10525/625 ISSN: 1310-6600 Appears in Collections: Volume 21 Number 1

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