Discrete Generalized Cesaro Operators

DOI10.2307/2044437zbMath0505.47021OpenAlexW4230057011MaRDI QIDQ4741877

H. jun. Crawford Rhaly

Publication date: 1982

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2044437

zbMATH Keywords

numerical rangespectrumcompact operatorsubnormal operatorCesaro operatorlower triangular matrixHilbert-Schmidt operator which is not normaloid and not spectraloid

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Numerical range, numerical radius (47A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (10)

The spectrum and some subdivisions of the spectrum of discrete generalized Cesàro operators on \(\ell_{p}\) (\(1< p<\infty\)) ⋮ Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces ⋮ Semigroups of composition operators in Bergman spaces ⋮ Matrix operators on sequence ⋮ Spectral properties of generalized Cesàro operators in sequence spaces ⋮ Compact operators on the Hahn space ⋮ Fine spectra and compactness of generalized Cesàro operators in Banach lattices in \(\mathbb{C}^{\mathbb{N}_0}\) ⋮ Sufficient conditions for factorable matrices to be bounded operators on \({\mathcal A}_k\) ⋮ The Spectrum and fine spectrum of generalized Rhaly-Cesàro matrices on c_0 and c ⋮ On q−Cesàro Operators: Boundedness, Compactness and Spectra

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