Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers
Functional Analysis
2013-09-03 v1
Abstract
In this paper, we apply the Hausdorff measure of noncompactness to obtain the necessary and sufficient conditions for certain matrix operators on the Fibonacci difference sequence spaces l_{p}(F) and l_{infinite}(F) to be compact, where 1<=p<infinite.
Cite
@article{arxiv.1309.0152,
title = {Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers},
author = {E. E. Kara and M. Başarır and M. Mursaleen},
journal= {arXiv preprint arXiv:1309.0152},
year = {2013}
}