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< | 47-XX | 47Bxx >
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)
47A10   Spectrum, resolvent
47A11   Local spectral properties
47A12   Numerical range, numerical radius
47A13   Several-variable operator theory (spectral, Fredholm, etc.)
47A15   Invariant subspaces [See also 47A46]
47A16   Cyclic vectors, hypercyclic and chaotic operators
47A20   Dilations, extensions, compressions
47A25   Spectral sets
47A30   Norms (inequalities, more than one norm, etc.)
47A35   Ergodic theory [See also 28Dxx, 37Axx]
47A40   Scattering theory [See also 34L25, 35P25, 37K15, 58J50, 81Uxx]
47A45   Canonical models for contractions and nonselfadjoint 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   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 [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   Operator methods in interpolation, moment and extension problems [See also 30E05, 42A70, 42A82, 44A60]
47A58   Operator approximation theory
47A60   Functional calculus
47A62   Equations involving linear operators, with operator unknowns
47A63   Operator inequalities
47A64   Operator means, shorted operators, etc.
47A65   Structure theory
47A66   Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal 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 47J10, 49R05]
47A80   Tensor products of operators [See also 46M05]
47A99   None of the above, but in this section
< | 47-XX | 47Bxx >
American Mathematical Society