International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 2, Pages 121-128
doi:10.1155/S0161171200002453

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

Abstract

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<∞.