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On the Work by Serguei Naboko on the Similarity to Unitary and Selfadjoint Operators

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From Complex Analysis to Operator Theory: A Panorama

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 291))

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Abstract

We review Serguei Naboko’s criteria for similarity of an operator to unitary or selfadjoint one, their relation to his functional model, applications and some related results.

Dedicated to the memory of Sergey Nikolaevich Naboko (1950–2020)

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Acknowledgements

The author acknowledges partial support by Spanish Ministry of Science, Innovation and Universities (grant no. PGC2018-099124-B-I00), the ICMAT Severo Ochoa project SEV-2015-0554 of the Spanish Ministry of Economy and Competitiveness of Spain and the European Regional Development Fund, through the “Severo Ochoa Programme for Centres of Excellence in R\(\&\)D”, and from the Spanish National Research Council, through the “Ayuda extraordinaria a Centros de Excelencia Severo Ochoa” (20205CEX001). The author is grateful to Alexander Kiselev for reading this text and for useful comments and suggestions.

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  1. Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain

    Dmitry Yakubovich

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  1. School of Computer Science & Informatics, Cardiff University, Cardiff, UK

    Malcolm Brown

  2. Department of Mathematics, Baylor University, Waco, TX, USA

    Fritz Gesztesy

  3. Department of Mathematics, Stockholm University, Stockholm, Sweden

    Pavel Kurasov

  4. Department of Mathematics Imperial College London London, United Kingdom, Sirius Mathematical Center, Sochi, Russia

    Ari Laptev

  5. Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, CA, USA

    Barry Simon

  6. Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL, USA

    Gunter Stolz

  7. School of Mathematics, Statistics and Actuarial Sciences, University of Kent, Canterbury, UK

    Ian Wood

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Yakubovich, D. (2023). On the Work by Serguei Naboko on the Similarity to Unitary and Selfadjoint Operators. In: Brown, M., et al. From Complex Analysis to Operator Theory: A Panorama. Operator Theory: Advances and Applications, vol 291. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-31139-0_6

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