Journal of Soviet Mathematics

, Volume 26, Issue 5, pp 2144–2146 | Cite as

3.4. Null-sets of operator functions with a positive imaginary part

  • B. S. Pavlov
  • L. D. Faddeev
Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators


Imaginary Part Operator Function Positive Imaginary Part 
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Literature cited

  1. 1.
    L. D. Faddeev, “On the Friedrichs model in perturbation theory,” Tr. Mat. Inst. Steklov,30, 33–75 (1964).Google Scholar
  2. 2.
    B. S. Pavlov and S. V. Petras, “The singular spectrum of a weakly perturbed multiplication operator,” Funkts. Anal. Prilozhen.,4, No. 2, 54–61 (1970).Google Scholar
  3. 3.
    B. S. Pavlov, “A uniqueness theorem for functions with positive imaginary part,” in: Probl. Mat. Fiz., Leningr. Gos. Univ. (1970), pp. 118–124.Google Scholar

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • B. S. Pavlov
    • 1
  • L. D. Faddeev
    • 1
  1. 1.V. A. Steklov Mathematical Institute, Leningrad BranchAcademy of Sciences of the USSRLeningradUSSR

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