Journal article

Publication year: 2010

Pages: 1122-1130

Journal: Applied Mathematics and Computation

Volume number: 216

Issue number: 4

ISSN: 0096-3003

DOI Link: https://doi.org/10.1016/j.amc.2010.02.004

Publisher: Elsevier

Abstract: 
In [2,3,7], the authors studied spaces of strongly C-1 summable and bounded sequences and matrix domains of triangles in them. Here we will extend their results by characterizing compact matrix operators from those spaces into the spaces of null and convergent sequences, and by giving sufficient conditions for the compactness of the operators when the final space is the space of bounded sequences. This is achieved by determining or estimating the Hausdorff measure of noncompactness of such matrix operators. (C) 2010 Elsevier Inc. All rights reserved.

Harvard Citation style: Djolovic, I. and Malkowsky, E. (2010) The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly C₁ summable and bounded sequences, Applied Mathematics and Computation, 216(4), pp. 1122-1130. https://doi.org/10.1016/j.amc.2010.02.004

APA Citation style: Djolovic, I., & Malkowsky, E. (2010). The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly C₁ summable and bounded sequences. Applied Mathematics and Computation. 216(4), 1122-1130. https://doi.org/10.1016/j.amc.2010.02.004