On matrix domains of triangles
Copyright policy )On matrix domains of triangles
The authors' summary clearly explains the content of this paper: ``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 \textit{J.\,J.\thinspace Sember} [J.~Lond.\ Math.\ Soc., II.\ Ser.\ 2, 530--534 (1970; Zbl 0199.11302)], give the corrected version of a recent result by \textit{I.\,Djolović} [J.~Math.\ Anal.\ Appl.\ 318, No.\,2, 658--666 (2006; Zbl 1099.47021)], and study compact operators on some spaces of \textit{B.\,Altay, F.\,Başar} and \textit{M.\,Mursaleen} [Ukr.\ Mat.\ Zh.\ 57, No.\,1, 3--17 (2005; Zbl 1096.46011); Inf.\ Sci.\ 176, No.\,10, 1450--1462 (2006; Zbl 1101.46015); Nonlinear Anal., Theory Methods Appl.\ 65, No.\,3(A), 707--717 (2006; Zbl 1108.46019)].''
- University of Niš Serbia
- Justus Liebig University Giessen Germany
matrix domains, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, sequence spaces, measure of noncompactness, matrix transformations, Local theory of Banach spaces, Banach sequence spaces, dual spaces
matrix domains, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, sequence spaces, measure of noncompactness, matrix transformations, Local theory of Banach spaces, Banach sequence spaces, dual spaces
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