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Ukrainian Mathematical Journal

, Volume 67, Issue 9, pp 1400–1410 | Cite as

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

  • V. A. Mozel’
Article
  • 26 Downloads

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.

Keywords

Hilbert Space Unit Disk Compact Operator Toeplitz Operator Local Description 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • V. A. Mozel’
    • 1
  1. 1.Division of Hydroacoustics, Subbotin Institute of GeophysicsUkrainian National Academy of SciencesOdessaUkraine

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