Norming Subspaces Isomorphic to <i>l</i><sub>1</sub>
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Date
2015
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Publisher
Springer Heidelberg
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Abstract
Norming subspaces are studied widely in the duality theory of Banach spaces. These subspaces are applied to the Borel and Baire classifications of the inverse operators. The main result of this article asserts that the dual of a Banach space X contains a norming subspace isomorphic to l(1) provided that the following two conditions are satisfied: (1) X* contains a subspace isomorphic to l(1); and (2) X* contains a separable norming subspace.
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Keywords
Banach space, norming subspace, dual space, weak* convergence, free ultrafilter
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WoS Q
Scopus Q
Q4
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Volume
31
Issue
5
Start Page
767
End Page
771