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Compactness and Berezin symbols

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Abstract

We answer a question raised by Nordgren and Rosenthal about the Schatten-von Neumann class membership of operators in standard reproducing kernel Hilbert spaces in terms of their Berezin symbols.

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Acknowledgement

The authors wish to thank the referee for valuable comments.

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Authors and Affiliations

  1. Institut Camille Jordan CNRS UMR 5208, Université de Lyon; Université Lyon 1, 43, boulevard du 11 Novembre 1918, F-69622, Villeurbanne, France

    I. Chalendar & E. Fricain

  2. Department of mathematics, Suleyman Demirel University, 32260, Isparta, Turkey

    M. Gürdal

  3. Isparta Vocational School, Suleyman Demirel University, 32260, Isparta, Turkey

    M. Karaev

Authors
  1. I. Chalendar
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  2. E. Fricain
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  3. M. Gürdal
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  4. M. Karaev
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Corresponding author

Correspondence to I. Chalendar.

Additional information

This work was supported by the PHC Bosphore 2010-2012.

Communicated by L. Kérchy

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Chalendar, I., Fricain, E., Gürdal, M. et al. Compactness and Berezin symbols. ActaSci.Math. 78, 315–329 (2012). https://doi.org/10.1007/BF03651352

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  • DOI: https://doi.org/10.1007/BF03651352

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