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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 47 | Operator theory | ||
| 47A | 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 | ||
| 47A16 | Cyclic and hypercyclic vectors | ||
| 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, 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 | ||
| 47A53 | (Semi-) Fredholm operators; index theories [See also 58B15, 58J20] | ||
| 47A55 | Perturbation theory | ||
| 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 49R50] | ||
| 47A80 | Tensor products of operators [See also 46M05] | ||
| 47A99 | None of the above, but in this section | ||
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