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Mathematical Sciences Classification System

47Bxx - Special classes of linear operators

• 8
  47B06
  Riesz operators; eigenvalue distributions; approximation numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
• 15
  47B07
  Operators defined by compactness properties
• 14
  47B10
  Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20]
• 16
  47B15
  Hermitian and normal operators (spectral measures, functional calculus, etc.)
• 3
  47B20
  Subnormal operators, hyponormal operators, etc.
• 39
  47B25
  Symmetric and selfadjoint operators (unbounded)
• 9
  47B32
  Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22]
• 6
  47B33
  Composition operators
• 6
  47B34
  Kernel operators
• 36
  47B35
  Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
• 4
  47B36
  Jacobi (tridiagonal) operators (matrices) and generalizations
• 5
  47B37
  Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
• 31
  47B38
  Operators on function spaces (general)
• 4
  47B39
  Difference operators [See also 39A70]
• 5
  47B40
  Spectral operators, decomposable operators, well-bounded operators, etc.
• 8
  47B44
  Accretive operators, dissipative operators, etc.
• 4
  47B47
  Commutators, derivations, elementary operators, etc.
• 4
  47B48
  Operators on Banach algebras
• 1
  47B49
  Transformers, preservers (operators on spaces of operators)
• 10
  47B50
  Operators on spaces with an indefinite metric [See also 46C50]
• 5
  47B60
  Operators on ordered spaces
• 17
  47B65
  Positive operators and order-bounded operators
• 7
  47B80
  Random operators [See also 47H40, 60H25]
• 2
  47B99
  None of the above, but in this section