The Cesàro operator on Korenblum type spaces of analytic functions

DOI10.1007/s13348-017-0205-7OpenAlexW2757692909MaRDI QIDQ1752916

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

Publication date: 24 May 2018

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/107452

zbMATH Keywords

spectrumFréchet spacesCesàro operatorweighted spaces of analytic functionsmean ergodicity(LB)-spaces

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (12)

Dynamics of weighted composition operators on spaces of entire functions of exponential and infraexponential type ⋮ Operators between different weighted Fréchet and (LB)-spaces of analytic functions ⋮ On the spectrum of isomorphisms defined on the space of smooth functions which are flat at $0$ ⋮ Spectral properties of generalized Cesàro operators in sequence spaces ⋮ Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type 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 ⋮ Spectrum of the Cesàro operator on the ultradifferentiable function spaces \(\mathcal{E}_\omega (\mathbb{R}_+)\) ⋮ Monomial basis in Korenblum type spaces of analytic functions ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ The spectrum of Volterra operators on Korenblum type spaces of analytic functions ⋮ Volterra operators between limits of Bergman-type weighted spaces of analytic functions

Cites Work

• The Cesàro operator in growth Banach spaces of analytic functions
• Resolvent estimates and decomposable extensions of generalized Cesàro operators
• An extension of the Nevanlinna theory
• Composition operators belonging to operator ideals
• Weighted spaces of holomorphic functions on balanced domains
• (DFS)-spaces of holomorphic functions invariant under differentiation
• On the spectrum of the Cesàro operator on spaces of analytic functions
• Spectra of integration operators on weighted Bergman spaces
• Montel resolvents and uniformly mean ergodic semigroups of linear operators
• THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓ^p+ AND L^p−
• The Cesàro operator on power series spaces
• A Projective Description of Weighted Inductive Limits
• Integration operators on Bergman spaces
• Subadditive mean ergodic theorems
• An Integral Operator on H^p
• Spectra of integration operators and weighted square functions
• On the isomorphism classes of weighted spaces of harmonic and holomorphic functions
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