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

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  01 June 2008

FRANCISCO J. GARCÍA-PACHECO
FRANCISCO J. GARCÍA-PACHECO*
Affiliation:
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA (email: [email protected])
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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.

Keywords

lineablenon-norm-attaining functionalJames space

MSC classification

Secondary: 46B20: Geometry and structure of normed linear spaces 46B03: Isomorphic theory (including renorming) of Banach spaces 46B07: Local theory of Banach spaces
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 3 , June 2008 , pp. 425 - 432
Copyright
Copyright © 2008 Australian Mathematical Society

References

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