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Geometric properties of the norm and basic sequences in Banach spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
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We introduce some generalizations of Kadec'-Klee norms and use them to study characteristics of subspaces of conjugate spaces and smoothness. We give some connections between such characteristics and basic sequences, which yield, in particular, sharpenings and simpler proofs of some known characterizations of reflexivity.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 13 , Issue 3 , December 1975 , pp. 325 - 335
- Copyright
- Copyright © Australian Mathematical Society 1975
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