47Axx General theory of linear operators

• 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 47A10 Spectrum, resolvent
• 47A11 Local spectral properties
• 47A12 Numerical range
• 47A13 Several-variable spectral theory
• 47A15 Invariant subspaces
• 47A20 Dilations, extensions, compressions
• 47A25 Spectral sets
• 47A30 Norms (inequalities, more than one norm, etc.)
• 47A35 Ergodic theory, See also {28Dxx}
• 47A40 Scattering theory, See also {34L25, 35P25, 81Uxx}
• 47A45 Canonical models for contractions and nonselfadjoint operators
• 47A48 Operator colligations (= nodes)
• 47A50 Equations and inequalities involving linear operators, with vector unknowns
• 47A53 (Semi-) Fredholm operators; index theories, See Also {58B10, 58G12}
• 47A55 Perturbation theory
• 47A56 Functions whose values are linear operators (operator and matrix pencils, etc.)
• 47A57 Operator methods in interpolation, moment and extension problems, See also {30E05, 42A70, 42A82}
• 47A58 Operator approximation theory
• 47A60 Functional calculus
• 47A62 Equations involving linear operators, with operator unknowns
• 47A63 Operator inequalities, operator means, shorted operators, etc.
• 47A65 Structure theory
• 47A66 (Non)quasitriangular, (non)quasidiagonal operators
• 47A67 Representation theory
• 47A68 Factorization theory (including Wiener-Hopf and spectral factorizations)
• 47A70 (Generalized) eigenfunction expansions; rigged Hilbert spaces
• 47A75 Eigenvalue problems, See also {49Rxx}
• 47A80 Tensor products of operators, See also {46M05}
• 47A99 None of the above but in this section