On β -dual of vector-valued sequence spaces of Maddox

Suthep Suantai and Winate Sanhan

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-10

Abstract:

The β -dual of a vector-valued sequence space is defined and studied. We show that if an X -valued sequence space E is a BK-space having AK property, then the dual space of E and its β -dual are isometrically isomorphic. We also give characterizations of β -dual of vector-valued sequence spaces of Maddox ℓ ( X , p ) , ℓ ∞ ( X , p ) , c 0 ( X , p ) , and c ( X , p ) .

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:123528

DOI: 10.1155/S0161171202012772

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