47XX 


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 Schattenvon 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 reproducingkernel Hilbert spaces (including de Branges, de BrangesRovnyak, and other structured spaces) [See also 46E22] 


47B33 
Composition operators 


47B34 
Kernel operators 


47B35 
Toeplitz operators, Hankel operators, WienerHopf 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, wellbounded operators, etc. 


47B44 
Accretive operators, dissipative operators, etc. 


47B47 
Commutators, derivations, elementary operators, etc. 


47B48 
Operators on Banach algebras 


47B49 
Transformers (= 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 orderbounded operators 


47B80 
Random operators [See also 60H25] 


47B99 
None of the above, but in this section 