Journal article

Publication year: 2007

Pages: 1146-1163

Journal: Applied Mathematics and Computation

Volume number: 189

Issue number: 2

ISSN: 0096-3003

eISSN: 1873-5649

DOI Link: https://doi.org/10.1016/j.amc.2006.12.024

Publisher: Elsevier

Abstract: 
We prove some general results for the determination of the beta-duals of, and the characterisations of matrix transformations on matrix domains of arbitrary triangles in FK spaces. Our results contain almost all recently published ones as special cases. We also study the measure of noncompactness of several matrix transformations. In particular, we obtain some known results of Sember, give the corrected version of a recent result by Djolovic, and study compact operators on some spaces of Altay, Ba ar and Mursaleen. (c) 2006 Elsevier Inc. All rights reserved.

Harvard Citation style: Malkowsky, E. and Rakocevic, V. (2007) On matrix domains of triangles, Applied Mathematics and Computation, 189(2), pp. 1146-1163. https://doi.org/10.1016/j.amc.2006.12.024

APA Citation style: Malkowsky, E., & Rakocevic, V. (2007). On matrix domains of triangles. Applied Mathematics and Computation. 189(2), 1146-1163. https://doi.org/10.1016/j.amc.2006.12.024