Spectrum of the Cesàro operator on the ultradifferentiable function spaces \(\mathcal{E}_\omega (\mathbb{R}_+)\)
DOI10.1007/s11785-020-01072-5OpenAlexW3118768683MaRDI QIDQ2027982
Publication date: 28 May 2021
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-020-01072-5
Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Cyclic vectors, hypercyclic and chaotic operators (47A16)
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Cites Work
- Dynamics and spectrum of the Cesàro operator on \(C^\infty (\mathbb R_+)\)
- Erratum to: ``Dynamics and spectrum of the Cesàro operator on \(C^\infty (\mathbb{R}_+)\)
- On the continuous Cesàro operator in certain function spaces
- Linear chaos
- Quasianalytic wave front sets for solutions of linear partial differential operators
- The Cesàro operator on Korenblum type spaces of analytic functions
- Ultradifferentiable functions and Fourier analysis
- Convergence of arithmetic means of operators in Fréchet spaces
- Le calcul symbolique dans les algèbres commutatives
- Montel resolvents and uniformly mean ergodic semigroups of linear operators
- THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓp+ AND Lp−
- The Cesaro Operators and their Generalizations: Examples in Infinite- Dimensional Linear Analysis
- A support theorem for quasianalytic functionals
- Orbits of Cesàro type operators
- Cyclic behavior of the Cesàro operator on 𝐿₂(0,∞)
- Continuous Linear Right Inverses for Partial Differential Operators on Non ‐ Quasianalytic Classes and on Ultradistributions
- Surjectivity of Euler type differential operators on spaces of smooth functions
- Acyclic inductive spectra of Fréchet spaces
- Remarks on Ergodic Theorems
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