SPECTRUM AND COMPACTNESS OF THE CESÀRO OPERATOR ON WEIGHTED SPACES

DOI10.1017/S1446788715000221zbMath1336.47033OpenAlexW2347195457MaRDI QIDQ3458365

José Bonet, Werner J. Ricker, Angela A. Albanese

Publication date: 18 December 2015

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

Full work available at URL: https://doi.org/10.1017/s1446788715000221

zbMATH Keywords

spectrumcompact operatorCesàro operatorweighted \(\ell_p\) space

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

GENERALIZED HARDY–CESÀRO OPERATORS BETWEEN WEIGHTED SPACES ⋮ On the compactness and spectra of the generalized difference operator on the spaces ℓ^∞ and bv ⋮ Mean ergodicity and spectrum of the Cesàro operator on weighted \(c_0\) spaces ⋮ Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces ⋮ Order spectrum of the Cesàro operator in Banach lattice sequence spaces ⋮ Spectral properties of generalized Cesàro operators in sequence spaces ⋮ Generalized Cesàro operators, fractional finite differences and gamma functions ⋮ Fine spectra and compactness of generalized Cesàro operators in Banach lattices in \(\mathbb{C}^{\mathbb{N}_0}\) ⋮ On q−Cesàro Operators: Boundedness, Compactness and Spectra

Cites Work

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• Spectrum of the Cesàro operator in \(\ell ^{p }\)
• Spectra for factorable matrices on \(\ell^p\)
• On The Spectrum of the Cesaro Operator
• SOME ELEMENTARY INEQUALITIES
• An Introduction to Banach Space Theory
• On the fine spectrum of the Cesàro operator in c0