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Please note that in the second half of 2009, MSC2010 is deployed in the production of ZMATH and will become official standard in January 2010.


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47-XX Operator theory → ZMATH
47Axx General theory of linear operators → ZMATH
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) → ZMATH
47A06 Linear relations (multivalued linear operators) → ZMATH
47A07 Forms (bilinear, sesquilinear, multilinear) → ZMATH
47A10 Spectrum, resolvent → ZMATH
47A11 Local spectral properties → ZMATH
47A12 Numerical range, numerical radius → ZMATH
47A13 Several-variable operator theory (spectral, Fredholm, etc.) → ZMATH
47A15 Invariant subspaces → ZMATH
47A16 Cyclic and hypercyclic vectors → ZMATH
47A20 Dilations, extensions, compressions → ZMATH
47A25 Spectral sets → ZMATH
47A30 Norms (inequalities, more than one norm, etc.) → ZMATH
47A35 Ergodic theory [See also 28Dxx, 37Axx] → ZMATH
47A40 Scattering theory [See also 34L25, 35P25, 81Uxx] → ZMATH
47A45 Canonical models for contractions and nonselfadjoint operators → ZMATH
47A46 Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. → ZMATH
47A48 Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. → ZMATH
47A50 Equations and inequalities involving linear operators, with vector unknowns → ZMATH
47A52 Ill-posed problems, regularization → ZMATH
47A53 (Semi-) Fredholm operators; index theories [See also 58B15, 58J20] → ZMATH
47A55 Perturbation theory → ZMATH
47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) → ZMATH
47A57 Operator methods in interpolation, moment and extension problems [See also 30E05, 42A70, 42A82, 44A60] → ZMATH
47A58 Operator approximation theory → ZMATH
47A60 Functional calculus → ZMATH
47A62 Equations involving linear operators, with operator unknowns → ZMATH
47A63 Operator inequalities → ZMATH
47A64 Operator means, shorted operators, etc. → ZMATH
47A65 Structure theory → ZMATH
47A66 Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators → ZMATH
47A67 Representation theory → ZMATH
47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) → ZMATH
47A70 (Generalized) eigenfunction expansions; rigged Hilbert spaces → ZMATH
47A75 Eigenvalue problems [See also 49R50] → ZMATH
47A80 Tensor products of operators [See also 46M05] → ZMATH
47A99 None of the above, but in this section → ZMATH
 
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I. M. Gelfand 1913-2009
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