THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓp+ AND Lp−

DOI10.1017/S001708951600015XMaRDI QIDQ2981901

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

Publication date: 10 May 2017

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Locally convex Fréchet spaces and (DF)-spaces (46A04) Cyclic vectors, hypercyclic and chaotic operators (47A16) Kernel operators (47B34)

Related Items

Dynamics of weighted composition operators on spaces of entire functions of exponential and infraexponential type, Dynamics and spectrum of the Cesàro operator on \(C^\infty (\mathbb R_+)\), Mean ergodicity and spectrum of the Cesàro operator on weighted \(c_0\) spaces, Essential norm of Cesàro operators on \(L^p\) and Cesàro spaces, Multiplier and averaging operators in the Banach spaces \(ces(p), \, 1< p < \infty\), The Fréchet spaces \(ces(p+)\), \(1<p<\infty\), The Cesàro operator on duals of smooth sequence spaces of infinite type, Discrete Cesaro operator between weighted Banach spaces on homogenous trees, Spectral properties of generalized Cesàro operators in sequence spaces, Fréchet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesàro spaces, Operators acting in sequence spaces generated by dual Banach spaces of discrete Cesàro spaces, The Cesàro operator on Korenblum type spaces of analytic functions, Weighted composition operators on Korenblum type spaces of analytic functions, Spectrum of the Cesàro operator on the ultradifferentiable function spaces \(\mathcal{E}_\omega (\mathbb{R}_+)\), Operators on the Fréchet sequence spaces \(ces(p+)\), \(1\le p<\infty \), The Cesàro operator on smooth sequence spaces of finite type, Volterra operators between limits of Bergman-type weighted spaces of analytic functions

Cites Work

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• Frechet Spaces with Nuclear Kothe Quotients
• On the Space l^p+ = ∩l^q_q>p