Journalartikel

Jahr der Veröffentlichung: 1999

Seiten: 381-395

Zeitschrift: Studia Scientiarum Mathematicarum Hungarica

Bandnummer: 35

Heftnummer: 3-4

ISSN: 0081-6906

eISSN: 1588-2896

Verlag: 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.

Harvard-Zitierstil: 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-Zitierstil: 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.