47-XX |
|
|
Operator theory |
|
47Axx |
|
General theory of linear operators |
|
|
47A05 |
General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |
|
|
47A06 |
Linear relations (multivalued linear operators) |
|
|
47A07 |
Forms (bilinear, sesquilinear, multilinear) |
|
|
47A08 |
Operator matrices [See also 47A13] |
|
|
47A10 |
Spectrum, resolvent |
|
|
47A11 |
Local spectral properties of linear operators |
|
|
47A12 |
Numerical range, numerical radius |
|
|
47A13 |
Several-variable operator theory (spectral, Fredholm, etc.) |
|
|
47A15 |
Invariant subspaces of linear operators [See also 47A46] |
|
|
47A16 |
Cyclic vectors, hypercyclic and chaotic operators |
|
|
47A20 |
Dilations, extensions, compressions of linear operators |
|
|
47A25 |
Spectral sets of linear operators |
|
|
47A30 |
Norms (inequalities, more than one norm, etc.) of linear operators |
|
|
47A35 |
Ergodic theory of linear operators [See also 28Dxx, 37Axx] |
|
|
47A40 |
Scattering theory of linear operators [See also 34L25, 35P25, 37K15, 58J50, 81Uxx] |
|
|
47A45 |
Canonical models for contractions and nonselfadjoint linear operators |
|
|
47A46 |
Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. |
|
|
47A48 |
Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. |
|
|
47A50 |
Equations and inequalities involving linear operators, with vector unknowns |
|
|
47A52 |
Linear operators and ill-posed problems, regularization [See also 35R25, 47J06, 65F22, 65J20, 65L08, 65M30, 65R30] |
|
|
47A53 |
(Semi-) Fredholm operators; index theories [See also 58B15, 58J20] |
|
|
47A55 |
Perturbation theory of linear operators [See also 47H14, 58J37, 70H09, 81Q15] |
|
|
47A56 |
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) |
|
|
47A57 |
Linear operator methods in interpolation, moment and extension problems [See also 30E05, 42A70, 42A82, 44A60] |
|
|
47A58 |
Linear operator approximation theory |
|
|
47A60 |
Functional calculus for linear operators |
|
|
47A62 |
Equations involving linear operators, with operator unknowns |
|
|
47A63 |
Linear operator inequalities |
|
|
47A64 |
Operator means involving linear operators, shorted linear operators, etc. |
|
|
47A65 |
Structure theory of linear operators |
|
|
47A66 |
Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators |
|
|
47A67 |
Representation theory of linear operators |
|
|
47A68 |
Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators |
|
|
47A70 |
(Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces |
|
|
47A75 |
Eigenvalue problems for linear operators [See also 47J10, 49R05] |
|
|
47A80 |
Tensor products of linear operators [See also 46M05] |
|
|
47A99 |
None of the above, but in this section |