The measure of noncompactness of linear operators between spaces of <i>M<SUP>th</SUP></i>-order difference sequences - Research portal of Justus Liebig University Giessen:

Journal article

The measure of noncompactness of linear operators between spaces of M^th-order difference sequences

Authors list: Malkowsky, E; Rakocevic, V

Publication year: 1999

Pages: 381-395

Journal: Studia Scientiarum Mathematicarum Hungarica

Volume number: 35

Issue number: 3-4

ISSN: 0081-6906

eISSN: 1588-2896

Publisher: Akadémiai Kiadó

Abstract:
In this paper we investigate linear operators between certain sequence spaces X and Y Among other things, if X is any BK space and Y is a sequence space of bounded or convergent m(th)-order differences, then we find 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. (1999) The measure of noncompactness of linear operators between spaces of M^th-order difference sequences, Studia Scientiarum Mathematicarum Hungarica, 35(3-4), pp. 381-395

APA Citation style: Malkowsky, E., & Rakocevic, V. (1999). The measure of noncompactness of linear operators between spaces of M^th-order difference sequences. Studia Scientiarum Mathematicarum Hungarica. 35(3-4), 381-395.

Keywords

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