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
Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, Jordan
Received 19 November 1998
Copyright © 2000 A. M. Jarrah and E. Malkowsky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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<∞.