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

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The Second Dual Spaces of the Sets of Λ-strongly Convergent and Bounded Sequences

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

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2000

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171200002453