Spectra and ergodic properties of multiplication and convolution operators on the space \(\mathcal{S}(\mathbb{R})\)

DOI10.1007/s13163-021-00403-0OpenAlexW3191044662WikidataQ114220243 ScholiaQ114220243MaRDI QIDQ2674026

Claudio Mele, Angela A. Albanese

Publication date: 22 September 2022

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.13365

zbMATH Keywords

multiplication operatorconvolution operatorspectrapower bounded operatormean ergodic operatorrapidly decreasing functions

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (2)

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

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