Mathematical Sciences Classification System

47Bxx - Special classes of linear operators

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

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