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http://dx.doi.org/10.4134/BKMS.2011.48.5.1093

COMPACT MATRIX OPERATORS BETWEEN THE SPACES m(ϕ), n(ϕ) AND ℓp  

Malkowsky, Eberhard (Department of Mathematics University of Giessen, Department of Mathematics Faculty of Science Fatih University)
Mursaleen, Mohammad (Department of Mathematics Aligarh Muslim University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 1093-1103 More about this Journal
Abstract
We give the characterizations of the classes of matrix trans-formations ($m(\phi),{\ell}_p$), ($n(\phi),{\ell}_p$) ([5, Theorem 2]), (${\ell}_p,m(\phi)$) ([5, Theorem 1]) and (${\ell}_p,n(\phi)$) for $1{\leq}p{\leq}{\infty}$, establish estimates for the norms of the bounded linear operators defined by those matrix transformations and characterize the corresponding subclasses of compact matrix operators.
Keywords
sequence spaces; matrix transformations; compact operators; Hausdorff measure of noncompactness;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
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