The second dual spaces of the sets of Λ -strongly convergent and bounded sequences

A. M. Jarrah and E. Malkowsky

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-8

Abstract:

We give the second β -, γ -, and f -duals of the sets w 0 p ( Λ ) , w ∞ p ( Λ ) ( 0 < p < ∞ ) , c 0 p ( Λ ) , c p ( Λ ) , and c ∞ p ( Λ ) ( 0 < p ≤ 1 ) and the second continuous dual spaces of w 0 p ( Λ ) , c 0 p ( Λ ) , and c p ( Λ ) for 0 < p ≤ 1 . Furthermore, we determine the α -duals of c 0 p ( Λ ) , c p ( Λ ) , and c ∞ p ( Λ ) for 1 < p < ∞ .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:524913

DOI: 10.1155/S0161171200002453

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