Dynamical properties of weighted composition operators on the space of smooth functions

DOI10.1016/j.jmaa.2016.08.029zbMath1394.47032OpenAlexW2514919431MaRDI QIDQ323906

A. Przestacki

Publication date: 10 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.08.029

zbMATH Keywords

weighted composition operatorslinear dynamicshypercyclic operatorssmooth functionsspaces of differentiable functions

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Dynamics of composition operators on function spaces defined by local and global properties, Hypercyclic algebras for convolution and composition operators, Frequent hypercyclicity of weighted composition operators on the space of smooth functions, Disjoint Hypercyclicity and Topological Entropy of Composition Operators, Dynamics and spectra of composition operators on the Schwartz space, Disjoint dynamics of weighted translations on solid spaces, The universal approximation property. Characterization, construction, representation, and existence, Dynamical properties of weighted translation operators on the Schwartz space \(\mathcal{S}(\mathbb{R})\), Linear dynamics of discrete cosine functions on solid Banach function spaces, Spectrum of composition operators on \(\mathcal{S}(\mathbb{R})\) with polynomial symbols, Dynamics of weighted composition operators on function spaces defined by local properties, Characterization of hypercyclic weighted composition operators on the space of holomorphic functions

Cites Work

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• Linear chaos
• Universal functions for composition operators with non-automorphic symbol
• Universal zero solutions of linear partial differential operators
• Hypercyclic composition operators on spaces of real analytic functions
• Hypercyclic property of weighted composition operators
• Hypercyclic, mixing, and chaoticC₀-semigroups induced by semiflows