47-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to operator theory 32
47A48 Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. 478
47A52 Linear operators and ill-posed problems, regularization [See also 35R25, 47J06, 65F22, 65J20, 65L08, 65M30, 65R30] 1244
47A56 Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) 2231
47A57 Linear operator methods in interpolation, moment and extension problems [See also 30E05, 42A70, 42A82, 44A60] 1426
47A66 Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators 279
47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators 1218
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 2147
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] 4346
47B32 Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] 1047
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators {For other integral operators, see also 45P05, 47G10} [See also 32A25, 32M15] 5993
47D03 Groups and semigroups of linear operators [See also 20M20] {For nonlinear operators, see 47H20} 5004
47D07 Markov semigroups and applications to diffusion processes {For Markov processes, see 60Jxx} 1791
47E05 General theory of ordinary differential operators [Should also be assigned at least one other classification number in Section 47-XX] [See also 34Bxx, 34Lxx] 5708
47F05 General theory of partial differential operators [Should also be assigned at least one other classification number in Section 47-XX] [See also 35Pxx, 58Jxx] 5543
47Hxx Nonlinear operators and their properties {For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx} 39153
47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces 1722
47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) [See also 45Gxx, 45P05] 1328
47Jxx Equations and inequalities involving nonlinear operators [See also 46Txx] {For global and geometric aspects, see 58-XX} 25126
47J07 Abstract inverse mapping and implicit function theorems involving nonlinear operators [See also 46T20, 58C15] 266
47J15 Abstract bifurcation theory involving nonlinear operators [See also 34C23, 37Gxx, 58E07, 58E09] 521
47J20 Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 4091
47J35 Nonlinear evolution equations [See also 34G20, 35K90, 35L90, 35Qxx, 35R20, 37Kxx, 37Lxx, 47H20, 58D25] 1168
47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics 1375
47S10 Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory 410