Journalartikel

Jahr der Veröffentlichung: 2007

Seiten: 129-148

Zeitschrift: Periodica Mathematica Hungarica

Bandnummer: 55

Heftnummer: 2

ISSN: 0031-5303

eISSN: 1588-2829

DOI Link: https://doi.org/10.1007/s10998-007-4129-4

Verlag: Springer Verlag (Germany) / Akadémiai Kiadó

Abstract: 
In this paper, we characterize classes of matrix transformations from BK spaces into spaces of bounded sequences and their subclasses of infinite matrices that de. ne compact operators. Furthermore, using these results and the solvability of certain infinite linear systems we give necessary and sufficient conditions for A to be a compact operator on spaces that are strongly alpha-bounded or summable.

Harvard-Zitierstil: De Malafosse, B. and Malkowsky, E. (2007) ON THE MEASURE OF NONCOMPACTNESS OF LINEAR OPERATORS IN SPACES OF STRONGLY α-SUMMABLE AND BOUNDED SEQUENCES, Periodica Mathematica Hungarica, 55(2), pp. 129-148. https://doi.org/10.1007/s10998-007-4129-4

APA-Zitierstil: De Malafosse, B., & Malkowsky, E. (2007). ON THE MEASURE OF NONCOMPACTNESS OF LINEAR OPERATORS IN SPACES OF STRONGLY α-SUMMABLE AND BOUNDED SEQUENCES. Periodica Mathematica Hungarica. 55(2), 129-148. https://doi.org/10.1007/s10998-007-4129-4