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Geometric properties of the norm and basic sequences in Banach spaces

Published online by Cambridge University Press:  17 April 2009

Ivan Singer
Ivan Singer
Affiliation:
Institute of Mathematics, Str. Academiei 14, Bucuresti, Romania.
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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

References

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