Mathematical Sciences Classification System

47-XX - Operator theory

  • 4
    47-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 104
    47-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 2
    47-02
    Research exposition (monographs, survey articles)
  • 12
    47-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 47-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 252
    47-06
    Proceedings, conferences, collections, etc.
  • 77
    (+356)
    General theory of linear operators
  • 46
    (+255)
    Special classes of linear operators
  • 2
    (+2)
    Individual linear operators as elements of algebraic systems
  • 52
    (+87)
    Groups and semigroups of linear operators, their generalizations and applications
  • 4
    (+28)
    Ordinary differential operators
    [See also 34Bxx, 34Lxx]
  • 14
    (+31)
    Partial differential operators
    [See also 35Pxx, 58Jxx]
  • 22
    (+72)
    Integral, integro-differential, and pseudodifferential operators
    [See also 58Jxx]
  • 57
    (+132)
    Nonlinear operators and their properties
    {For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx}
  • 41
    (+67)
    Equations and inequalities involving nonlinear operators
    [See also 46Txx]
    {For global and geometric aspects, see 58-XX}
  • 31
    (+33)
    Linear spaces and algebras of operators
    [See also 46Lxx]
  • 12
    (+98)
    Miscellaneous applications of operator theory
    [See also 46Nxx]
  • (+12)
    Other (nonclassical) types of operator theory
    [See also 46Sxx]

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