ON THE MEASURE OF NONCOMPACTNESS OF LINEAR OPERATORS IN SPACES OF STRONGLY α-SUMMABLE AND BOUNDED SEQUENCES - Research portal of Justus Liebig University Giessen:

Journal article

ON THE MEASURE OF NONCOMPACTNESS OF LINEAR OPERATORS IN SPACES OF STRONGLY α-SUMMABLE AND BOUNDED SEQUENCES

Authors list: De Malafosse, Bruno; Malkowsky, Eberhard

Publication year: 2007

Pages: 129-148

Journal: Periodica Mathematica Hungarica

Volume number: 55

Issue number: 2

ISSN: 0031-5303

eISSN: 1588-2829

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

Publisher: 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.

Citation Styles

Harvard Citation style: 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 Citation style: 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

Keywords

Banach algebras with identity; dual space; infinite linear systems; matrix domains; sequence spaces

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