Abel's functional equation and eigenvalues of composition operators on spaces of real analytic functions

DOI10.1007/s00020-014-2175-4zbMath1331.47038OpenAlexW2093992424WikidataQ59402663 ScholiaQ59402663MaRDI QIDQ2342939

José Bonet, Paweł Domański

Publication date: 30 April 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-014-2175-4

zbMATH Keywords

spectrumcomposition operatorspaces of real analytic functionsiteration semigroupeigenvalues and eigenvectorsAbel's functional equationiteration root

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Eigenvalue problems for linear operators (47A75) Iteration theory, iterative and composite equations (39B12) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Linear composition operators (47B33)

Related Items (4)

A hypercyclicity criterion for non-metrizable topological vector spaces ⋮ On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ Frequent hypercyclicity of weighted composition operators on the space of smooth functions ⋮ A note on the spectrum of composition operators on spaces of real analytic functions

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