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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Spectral behaviour of quasianalytic contractions
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by László Kérchy and Attila Szalai PDF
Proc. Amer. Math. Soc. 143 (2015), 2579-2584 Request permission

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.
References
  • László Kérchy, On the hyperinvariant subspace problem for asymptotically nonvanishing contractions, Recent advances in operator theory and related topics (Szeged, 1999) Oper. Theory Adv. Appl., vol. 127, Birkhäuser, Basel, 2001, pp. 399–422. MR 1902813
  • László Kérchy, Quasianalytic contractions and function algebras, Indiana Univ. Math. J. 60 (2011), no. 1, 21–40. MR 2952408, DOI 10.1512/iumj.2011.60.4280
  • László Kérchy, Unitary asymptotes and quasianalycity, Acta Sci. Math. (Szeged) 79 (2013), no. 1-2, 253–271. MR 3100438
  • László Kérchy and Attila Szalai, Asymptotically cyclic quasianalytic contractions, Studia Math. 223 (2014), no. 1, 53–76. MR 3268717, DOI 10.4064/sm223-1-4
  • László Kérchy and Vilmos Totik, Compression of quasianalytic spectral sets of cyclic contractions, J. Funct. Anal. 263 (2012), no. 9, 2754–2769. MR 2967305, DOI 10.1016/j.jfa.2012.08.016
  • B. Sz.-Nagy, C. Foias, H. Bercovici, and L. Kérchy, Harmonic analysis of operators on Hilbert space, Revised and Enlarged Edition, Universitext, Springer, New York, 2010.
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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
  • 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
  • © Copyright 2015 American Mathematical Society
  • 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
  • MathSciNet review: 3326038