SPECTRUM AND COMPACTNESS OF THE CESÀRO OPERATOR ON WEIGHTED ` p SPACES
نویسنده
چکیده
An investigation is made of the continuity, the compactness and the spectrum of the Cesàro operator C when acting on the weighted Banach sequence spaces `p(w), 1 < p <∞, for a positive, decreasing weight w, thereby extending known results for C when acting on the classical spaces `p.
منابع مشابه
The spectrum and some subdivisions of the spectrum of discrete generalized Cesàro operators on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\ell_{p}$\end{document}ℓp (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1< p<\infty$\end{document}1<p<∞)
*Correspondence: [email protected] Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, 58 410, Turkey Abstract The discrete generalized Cesàro matrix At = (ank) is the triangular matrix with nonzero entries ank = tn–k/(n + 1), where t ∈ [0, 1]. In this paper, boundedness, compactness, spectra, the fine spectra and subdivisions of the spectra of discrete gene...
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