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 w0p(Λ), w∞p(Λ)(0<p<∞), c0p(Λ), cp(Λ), and c∞p(Λ)(0<p≤1) and the second continuous dual spaces of w0p(Λ), c0p(Λ), and cp(Λ) for 0<p≤1. Furthermore, we determine the α-duals of c0p(Λ), cp(Λ), and c∞p(Λ) for 1<p<∞....

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Bibliographic Details
Main Authors: A. M. Jarrah, E. Malkowsky
Format: Article
Language:English
Published: Hindawi Limited 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200002453