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< 47Axx | 47-XX | 47Cxx >
47-XX Operator theory
47Bxx Special classes of linear operators
47B01   Operators on Banach spaces
47B02   Operators on Hilbert spaces (general)
47B06   Riesz operators; eigenvalue distributions; approximation numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
47B07   Linear operators defined by compactness properties
47B10   Linear operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20]
47B12   Sectorial operators
47B13   Cowen-Douglas operators
47B15   Hermitian and normal operators (spectral measures, functional calculus, etc.)
47B20   Subnormal operators, hyponormal operators, etc.
47B25   Linear symmetric and selfadjoint operators (unbounded)
47B28   Nonselfadjoint operators [See also 47A45, 81Q12]
47B32   Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22]
47B33   Linear composition operators
47B34   Kernel operators
47B35   Toeplitz operators, Hankel operators, Wiener-Hopf operators {For other integral operators, see also 45P05, 47G10} [See also 32A25, 32M15]
47B36   Jacobi (tridiagonal) operators (matrices) and generalizations
47B37   Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47B38   Linear operators on function spaces (general)
47B39   Linear difference operators [See also 39A70]
47B40   Spectral operators, decomposable operators, well-bounded operators, etc.
47B44   Linear accretive operators, dissipative operators, etc.
47B47   Commutators, derivations, elementary operators, etc.
47B48   Linear operators on Banach algebras
47B49   Transformers, preservers (linear operators on spaces of linear operators)
47B50   Linear operators on spaces with an indefinite metric [See also 46C20]
47B60   Linear operators on ordered spaces
47B65   Positive linear operators and order-bounded operators
47B80   Random linear operators [See also 47H40, 60H25]
47B90   Operator theory and harmonic analysis [See also 42-XX, 43-XX, 44-XX]
47B91   Operators on complex function spaces
47B92   Operators on real function spaces
47B93   Operators arising in mathematical physics
47B99   None of the above, but in this section
< 47Axx | 47-XX | 47Cxx >
 
 
American Mathematical Society