Mathematical Sciences Classification System

47Lxx - Linear spaces and algebras of operators
[See also 46Lxx]

  • 47L05
    Linear spaces of operators [See also 46A32 and 46B28]
  • 1
    47L07
    Convex sets and cones of operators [See also 46A55]
  • 3
    47L10
    Algebras of operators on Banach spaces and other topological linear spaces
  • 2
    47L15
    Operator algebras with symbol structure
  • 7
    47L20
    Operator ideals [See also 47B10]
  • 47L22
    Ideals of polynomials and of multilinear mappings
  • 4
    47L25
    Operator spaces (= matricially normed spaces) [See also 46L07]
  • 2
    47L30
    Abstract operator algebras on Hilbert spaces
  • 1
    47L35
    Nest algebras, CSL algebras
  • 47L40
    Limit algebras, subalgebras of $C^*$-algebras
  • 1
    47L45
    Dual algebras; weakly closed singly generated operator algebras
  • 47L50
    Dual spaces of operator algebras
  • 47L55
    Representations of (nonselfadjoint) operator algebras
  • 3
    47L60
    Algebras of unbounded operators; partial algebras of operators
  • 47L65
    Crossed product algebras (analytic crossed products)
  • 47L70
    Nonassociative nonselfadjoint operator algebras
  • 47L75
    Other nonselfadjoint operator algebras
  • 8
    47L80
    Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)
  • 1
    47L90
    Applications of operator algebras to physics
  • 47L99
    None of the above, but in this section

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