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VECTOR SUBSPACES OF THE SET OF NON-NORM-ATTAINING FUNCTIONALS

Published online by Cambridge University Press:  01 June 2008

FRANCISCO J. GARCÍA-PACHECO*
Affiliation:
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA (email: fgarcia@math.kent.edu)
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Abstract

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An example is found of a nonreflexive Banach space X such that the union of {0} and the set of non-norm-attaining functionals on X contains no two-dimensional subspace.

Type
Research Article
Copyright
Copyright © 2008 Australian Mathematical Society

References

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