Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXIII, No. 27, pp. 33–46 (2002) 

Matrix transformations between the sequence space $BV^{P}$ and certain BK spacesE. Malkowsky, V. Rakocevic and Snezana ZivkovicDepartment of Mathematics, University of Giessen, Arndtstrasse 2, D–35392 Giessen, GermanyDepartment of Mathematics, Faculty of Science and Mathematics, University of Nis, Visegradska 33, 18000 Nis, Yugoslavia Abstract: In this paper, we characterize matrix transformations between the sequence space $bv^{p}$ $(1<p<\infty)$ and certain BK spaces. Furthermore, we apply the Hausdorff measure of noncompactness to give necessary and sufficient conditions for a linear operator between these spaces to be compact. Keywords: Matrix transformations, measure of noncompactness Classification (MSC2000): 40H05, 46A45 Full text of the article: (for faster download, first choose a mirror)
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