caa a22 4500 463171551 CHVBK 20180406164814.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10998-007-4129-4 doi (NATIONALLICENCE)springer-10.1007/s10998-007-4129-4 On the measure of noncompactness of linear operators in spaces of strongly α-summable and bounded sequences [Elektronische Daten] [Bruno de Malafosse, Eberhard Malkowsky] In this paper, we characterize classes of matrix transformations from BK spaces into spaces of bounded sequences and their subclasses of infinite matrices that define 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 α-bounded or summable. Springer Science+Business Media B.V., 2007 sequence spaces nationallicence matrix domains nationallicence dual space nationallicence infinite linear systems nationallicence Banach algebras with identity nationallicence de Malafosse Bruno I.U.T Université du Havre, 76600, Le Havre, France aut Malkowsky Eberhard Mathematisches Institut, Universität Giessen, Arndtstrasse 2, D-35392, Giessen, Germany aut Periodica Mathematica Hungarica Springer Netherlands 55/2(2007-11-01), 129-148 0031-5303 55:2<129 2007 55 10998 https://doi.org/10.1007/s10998-007-4129-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10998-007-4129-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- de Malafosse Bruno I.U.T Université du Havre, 76600, Le Havre, France aut NATIONALLICENCE 700 1- Malkowsky Eberhard Mathematisches Institut, Universität Giessen, Arndtstrasse 2, D-35392, Giessen, Germany aut NATIONALLICENCE 773 0- Periodica Mathematica Hungarica Springer Netherlands 55/2(2007-11-01), 129-148 0031-5303 55:2<129 2007 55 10998 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer