Measure of noncompactness of linear operators between spaces of sequences that are ((<i>N</i>)over-bar, <i>q</i>) summable or bounded - Research portal of Justus Liebig University Giessen:

Journal article

Measure of noncompactness of linear operators between spaces of sequences that are ((N)over-bar, q) summable or bounded

Authors list: Malkowsky, E; Rakocevic, V

Publication year: 2001

Pages: 505-522

Journal: Czechoslovak Mathematical Journal

Volume number: 51

Issue number: 3

ISSN: 0011-4642

eISSN: 1572-9141

DOI Link: https://doi.org/10.1023/A:1013727821173

Publisher: Springer

Abstract:
In this paper we investigate linear operators between arbitrary BK spaces X and spaces Y of sequences that are ((N) over bar ,q) summable or bounded. We give necessary and sufficient conditions for infinite matrices A to map X into Y. Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for A to be a compact operator.

Citation Styles

Harvard Citation style: Malkowsky, E. and Rakocevic, V. (2001) Measure of noncompactness of linear operators between spaces of sequences that are ((N)over-bar, q) summable or bounded, Czechoslovak Mathematical Journal, 51(3), pp. 505-522. https://doi.org/10.1023/A:1013727821173

APA Citation style: Malkowsky, E., & Rakocevic, V. (2001). Measure of noncompactness of linear operators between spaces of sequences that are ((N)over-bar, q) summable or bounded. Czechoslovak Mathematical Journal. 51(3), 505-522. https://doi.org/10.1023/A:1013727821173

Keywords

bases; BK spaces; matrix transformations; measure of noncompactness

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