Invertibility of functions of operators and existence of hyperinvariant subspaces

Gamal Maria F.: Invertibility of functions of operators and existence of hyperinvariant subspaces. In: Acta scientiarum mathematicarum, (85) 3-4. pp. 573-588. (2019)

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Abstract

Let T be an absolutely continuous polynomially bounded operator, and let θ be a singular inner function. It is shown that if θ(T)is invertible and some additional conditions are fulfilled, then T has nontrivial hyperinvariant subspaces.

Item Type: Article
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2019
Volume: 85
Number: 3-4
ISSN: 2064-8316
Page Range: pp. 573-588
Related URLs: http://acta.bibl.u-szeged.hu/66425/
DOI: 10.14232/actasm-018-582-z
Uncontrolled Keywords: Hiperinvariáns altér, polinomikusan határolt operátor
Additional Information: Bibliogr.: p. 586-588.
Date Deposited: 2020. Apr. 23. 13:35
Last Modified: 2021. Mar. 25. 15:34
URI: http://acta.bibl.u-szeged.hu/id/eprint/66333

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