Spectrum of composition operators on \(\mathcal{S}(\mathbb{R})\) with polynomial symbols

DOI10.1016/j.aim.2020.107052zbMath1441.47032arXiv1810.13208OpenAlexW3006132811MaRDI QIDQ2308307

Antonio Galbis, Enrique Jordá, Carmen Fernández

Publication date: 2 April 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.13208

zbMATH Keywords

spectrumcomposition operatormean ergodic operatorspace of rapidly decreasing functions

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Linear composition operators (47B33)

Related Items (2)

Spectra and ergodic properties of multiplication and convolution operators on the space \(\mathcal{S}(\mathbb{R})\) ⋮ On the spectrum of isomorphisms defined on the space of smooth functions which are flat at $0$

Cites Work

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• Characterization of composition operators with closed range for one-dimensional smooth symbols
• Montel resolvents and uniformly mean ergodic semigroups of linear operators
• Subadditive mean ergodic theorems
• A weak criterion for vector-valued holomorphy
• Extension of vector-valued holomorphic and harmonic functions

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