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47B Special Classes of Linear Operators


47-XX   Operator theory

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 also45P0547G10 for other integral operators; see also 32A2532M15

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 47H4060H25

47B99  None of the above, but in this section