Operators on the Fréchet sequence spaces \(ces(p+)\), \(1\le p<\infty \)

DOI10.1007/s13398-018-0564-2zbMath1423.46007OpenAlexW2889786720MaRDI QIDQ2314681

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

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0564-2

zbMATH Keywords

spectrumFréchet spacesCesàro operatormean ergodic operatormultiplier operatorsCesàro sequence spacesinclusion operators

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Locally convex Fréchet spaces and (DF)-spaces (46A04) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Dynamics of weighted composition operators on spaces of entire functions of exponential and infraexponential type ⋮ On diagonal operators between the sequence (LF)-spaces \(l_p(\mathcal{V})\) ⋮ Operators between different weighted Fréchet and (LB)-spaces of analytic functions ⋮ Toeplitz operators on the space of all holomorphic functions on finitely connected domains ⋮ Spectral properties of generalized Cesàro operators in sequence spaces ⋮ One-sided invertibility of Toeplitz operators on the space of all holomorphic functions on finitely connected domains ⋮ 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 ⋮ Weighted composition operators on Korenblum type spaces of analytic functions

Cites Work

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• Solid extensions of the Cesàro operator on \(\ell^p\) and \(c_0\)
• A spectral mapping theorem for scalar-type spectral operators in locally convex spaces
• The canonical spectral measure in Köthe echelon spaces
• Ergodic theorems. With a supplement by Antoine Brunel
• The blocking technique, weighted mean operators and Hardy's inequality
• The Fréchet spaces \(ces(p+)\), \(1<p<\infty\)
• Multiplier and averaging operators in the Banach spaces \(ces(p), \, 1< p < \infty\)
• Concerning perfect Frechet spaces and diagonal transformations
• Banach spaces of compact multipliers and their dual spaces
• Topological vector spaces and algebras
• THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓ^p+ AND L^p−
• Shorter Notes: An Example of Frechet Space, not Montel, Without Infinite Dimensional Normable Subspaces
• On the Space l^p+ = ∩l^q_q>p
• Some properties of N-supercyclic operators
• Factorizing the classical inequalities