Cyclic behavior of the Cesàro operator on 𝐿₂(0,∞)

DOI10.1090/S0002-9939-09-09833-5zbMath1166.47014MaRDI QIDQ3629428

González, Manuel, Fernando León-Saavedra

Publication date: 27 May 2009

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

zbMATH Keywords

supercyclicitycommutantsbilateral weighted shiftsCesàro operators

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (4)

On Birman's sequence of Hardy-Rellich-type inequalities ⋮ On the continuous Cesàro operator in certain function spaces ⋮ Spectrum of the Cesàro operator on the ultradifferentiable function spaces \(\mathcal{E}_\omega (\mathbb{R}_+)\) ⋮ Operators admitting a closed subspace of cyclic vectors

Cites Work

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• Non-sequential weak supercyclicity and hypercyclicity
• On weak positive supercyclicity
• The fine spectrum of the Cesàro operator in \(\ell _ p(1<p<\infty)\)
• Limits of hypercyclic and supercyclic operators
• Linear structure of hypercyclic vectors
• Rotations of hypercyclic and supercyclic operators
• Weakly supercyclic operators
• Orbits of Cesàro type operators
• On hypercyclic operators on Banach spaces
• Hypercyclic Weighted Shifts
• Supercyclicity and weighted shifts
• HYPONORMAL OPERATORS, WEIGHTED SHIFTS AND WEAK FORMS OF SUPERCYCLICITY

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