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English version:
Journal of Soviet Mathematics, 1984, Volume 26, Issue 5, Pages 2144–2146
DOI: https://doi.org/10.1007/BF01221509

Citation: B. S. Pavlov, L. D. Faddeev, “3.4. Null sets of operator functions with positive imaginary part”, Investigations on linear operators and function theory, 99 unsolved problems in linear and complex analysis, Zap. Nauchn. Sem. LOMI, 81, "Nauka", Leningrad. Otdel., Leningrad, 1978, 85–88; J. Soviet Math., 26:5 (1984), 2144–2146

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Chapter

• Chapter 4. Linear operators
  Zap. Nauchn. Sem. LOMI, 1978, 81, 75–76
• 1.4. Is a uniform algebraic approximation of the multiplication and shift operators possible?
  A. M. Vershik
  Zap. Nauchn. Sem. LOMI, 1978, 81, 77–81
• 2.4. Operators, analytic begligibility, and capacities
  C. R. Putnam
  Zap. Nauchn. Sem. LOMI, 1978, 81, 82–84
• 3.4. Null sets of operator functions with positive imaginary part
  B. S. Pavlov, L. D. Faddeev
  Zap. Nauchn. Sem. LOMI, 1978, 81, 85–88
• 4.4. A question of polynomial approximation arising in connection with the lacunae of the spectrum of Hill's equation
  H. P. McKean
  Zap. Nauchn. Sem. LOMI, 1978, 81, 89–91
• 5.4. Titchmarsh's theorem for vector functions
  H. Helson
  Zap. Nauchn. Sem. LOMI, 1978, 81, 92–93
• 6.4. Operators and approximation
  N. K. Nikol'skii
  Zap. Nauchn. Sem. LOMI, 1978, 81, 94–95
• 7.4. Spectral decomposition and the Carleson condition
  V. I. Vasyunin, N. K. Nikol'skii, B. S. Pavlov
  Zap. Nauchn. Sem. LOMI, 1978, 81, 96–98
• 8.4. A problem on operator valued bounded analytic functions
  B. Szőkefalvi-Nagy
  Zap. Nauchn. Sem. LOMI, 1978, 81, 99
• 9.4. The similarity problem and the structure of the singular spectrum of a nondissipative operator
  S. N. Naboko
  Zap. Nauchn. Sem. LOMI, 1978, 81, 100–102
• 10.4. Factorization of operators in $L^2(a,b)$
  L. A. Sakhnovich
  Zap. Nauchn. Sem. LOMI, 1978, 81, 103–106
• 11.4. A similarity problem for Toeplitz operators
  D. N. Clark
  Zap. Nauchn. Sem. LOMI, 1978, 81, 107–108
• 12.4. Localization of Toeplitz operators
  R. G. Douglas
  Zap. Nauchn. Sem. LOMI, 1978, 81, 109–111
• 13.4. Factorization of operator functions (classification of holomorphic Hilbert space bundles over the Riemannian sphere)
  J. Leiterer
  Zap. Nauchn. Sem. LOMI, 1978, 81, 112–114
• 14.4. Estimation of operator polynomials in Schatten–von Neumann classes
  V. V. Peller
  Zap. Nauchn. Sem. LOMI, 1978, 81, 115–117
• 15.4. The decomposition of Riesz operators
  M. R. Smyth, T. T. West
  Zap. Nauchn. Sem. LOMI, 1978, 81, 118

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