Invertibility of functions of operators and existence of hyperinvariant subspaces

DOI10.14232/ACTASM-018-582-ZzbMath1449.47021arXiv1812.03517OpenAlexW2994366057WikidataQ126631680 ScholiaQ126631680MaRDI QIDQ5211044

M. F. Gamal'

Publication date: 17 January 2020

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03517

zbMATH Keywords

hyperinvariant subspacepolynomially bounded operator

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Invariant subspaces of linear operators (47A15) Operators on Hilbert spaces (general) (47B02)

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Example of a quasianalytic contraction whose spectrum is a proper subarc of the unit circle

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