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On the C *-Algebra Generated by the Bergman Operator, Carleman Second-Order Shift, and Piecewise Continuous Coefficients

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Ukrainian Mathematical Journal Aims and scope

We study the C * -algebra generated by the Bergman operator with piecewise continuous coefficients in the Hilbert space L 2 and extended by the Carleman rotation by an angle π. As a result, we obtain an efficient criterion for the operators from the indicated C * -algebra to be Fredholm operators.

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Authors and Affiliations

  1. Division of Hydroacoustics, Subbotin Institute of Geophysics, Ukrainian National Academy of Sciences, Odessa, Ukraine

    V. A. Mozel’

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  1. V. A. Mozel’
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 9, pp. 1244–1252, September, 2015.

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Mozel’, V.A. On the C *-Algebra Generated by the Bergman Operator, Carleman Second-Order Shift, and Piecewise Continuous Coefficients. Ukr Math J 67, 1400–1410 (2016). https://doi.org/10.1007/s11253-016-1161-1

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  • DOI: https://doi.org/10.1007/s11253-016-1161-1

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