Mathematical Sciences Classification System
47Axx - General theory of linear operators
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47A05General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
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47A06Linear relations (multivalued linear operators)
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47A07Forms (bilinear, sesquilinear, multilinear)
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47A10Spectrum, resolvent
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47A11Local spectral properties
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47A12Numerical range, numerical radius
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47A13Several-variable operator theory (spectral, Fredholm, etc.)
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47A15Invariant subspaces [See also 47A46]
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47A16Cyclic vectors, hypercyclic and chaotic operators
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47A20Dilations, extensions, compressions
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47A25Spectral sets
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47A30Norms (inequalities, more than one norm, etc.)
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47A35
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47A40
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47A45Canonical models for contractions and nonselfadjoint operators
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47A46Chains (nests) of projections or of invariant subspaces, integrals along chains, etc.
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47A48Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc.
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47A50Equations and inequalities involving linear operators, with vector unknowns
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47A52
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47A53
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47A55
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47A56Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
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47A57
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47A58Operator approximation theory
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47A60Functional calculus
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47A62Equations involving linear operators, with operator unknowns
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47A63Operator inequalities
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47A64Operator means, shorted operators, etc.
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47A65Structure theory
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47A66Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators
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47A67Representation theory
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47A68Factorization theory (including Wiener-Hopf and spectral factorizations)
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47A70(Generalized) eigenfunction expansions; rigged Hilbert spaces
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47A75
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47A80Tensor products of operators [See also 46M05]
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47A99None of the above, but in this section