Compact matrix operators between the spaces $m(\phi)$, $n(\phi)$ and $\ell_{p}$
Bull. Korean Math. Soc. 2011 Vol. 48, No. 5, 1093-1103
Printed September 1, 2011
Eberhard Malkowsky and Mohammad Mursaleen
Fatih University, Aligarh Muslim University
Abstract : We give the characterizations of the classes of matrix transformations $(m(\phi),\ell_{p})$, $(n(\phi),\ell_{p})$ ([5, Theorem 2]), $(\ell_{p},m(\phi))$ ([5, Theorem 1]) and $(\ell_{p},n(\phi))$ for $1\le p\le\infty$, 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
MSC numbers : Primary 46B15; Secondary 46B45
Downloads: Full-text PDF  

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail:   | Powered by INFOrang Co., Ltd