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  • 47-XX Operator theory
  • 47Axx General theory of linear operators
  • 47A75 Eigenvalue problems

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
  • 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
  • 47A40 Scattering theory
  • 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
  • 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
  • 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
  • 47A80 Tensor products of operators
  • 47A99 None of the above, but in this section
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О собственных значениях и собственных векторах возмущенного оператора

A.M. Сидоров (1989)

Issledovanija po prikladnoj matematike

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