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Spectral behaviour of quasianalytic contractions


Authors: László Kérchy and Attila Szalai
Journal: Proc. Amer. Math. Soc. 143 (2015), 2579-2584
MSC (2010): Primary 47A10, 47A15, 47A60
DOI: https://doi.org/10.1090/S0002-9939-2015-12541-5
Published electronically: February 4, 2015
MathSciNet review: 3326038
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Abstract: We pose, and answer partially, questions in connection with the spectral behaviour of quasianalytic contractions. These problems are related to the hyperinvariant subspace problem in the class of asymptotically non-vanishing contractions.


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Additional Information

László Kérchy
Affiliation: Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, 6720 Szeged, Hungary
Email: kerchy@math.u-szeged.hu

Attila Szalai
Affiliation: Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, 6720 Szeged, Hungary
Email: szalaiap@math.u-szeged.hu

DOI: https://doi.org/10.1090/S0002-9939-2015-12541-5
Keywords: Quasianalytic contraction, spectrum, hyperinvariant subspace
Received by editor(s): February 4, 2014
Published electronically: February 4, 2015
Additional Notes: The first author was supported by the European Union and co-funded by the European Social Fund under the projects “Telemedicine-focused research activities on the field of Mathematics, Informatics and Medical Sciences” of project number TÁMOP-4.2.2.A-11/1/KONV-2012-0073, and “Impulse lasers for use in materials science and biophotonics” of project number TÁMOP-4.2.2.A-11/1/KONV-2012-0060
The second named author was supported by the European Union and the State of Hungary, co-financed by the European Social Fund in the framework of TÁMOP 4.2.4. A/2-11-1-2012-0001 ‘National Excellence Program’
Communicated by: Pamela Gorkin
Article copyright: © Copyright 2015 American Mathematical Society

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