E. Malkowsky, Mathematisches Institut, Universitat Giessen, Arndtstrasse 2, D-35392 Giessen, Germany, e-mail: Malkowsky@math.uni-giessen.de, ema@bankerinternet; V. Rakocevic, Faculty of Philosophy, Department of Mathematics, University of Nis, Cirila i Metodija 2, 18000 Nis, Yugoslavia, e-mail: vrakoc@bankerinter.net
Abstract: In this paper we investigate linear operators between arbitrary BK spaces $X$ and spaces $Y$ of sequences that are $\Nq$ summable or bounded. We give 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.
Keywords: BK spaces, bases, matrix transformations, measure of noncompactness
Classification (MSC 2000): 40H05, 46A45, 47B07
Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade.
To activate your access, please contact Myris Trade at myris@myris.cz.
Subscribers of Springer (formerly Kluwer) need to access the articles on their site, which is http://www.springeronline.com/10587.
