About: General theory of linear operators

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Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Operator theory
narrower concept	General (adjoints, conjugates, products, inverses, domains, ranges, etc.) Linear relations (multivalued linear operators) Forms (bilinear, sesquilinear, multilinear) Spectrum, resolvent Local spectral properties Numerical range, numerical radius Several-variable operator theory (spectral, Fredholm, etc.) Invariant subspaces Cyclic vectors, hypercyclic and chaotic operators Dilations, extensions, compressions Spectral sets Norms (inequalities, more than one norm, etc.) Ergodic theory Scattering theory Canonical models for contractions and nonselfadjoint operators Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. Equations and inequalities involving linear operators, with vector unknowns Ill-posed problems, regularization (Semi-) Fredholm operators; index theories Perturbation theory Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) Operator methods in interpolation, moment and extension problems Operator approximation theory Functional calculus Equations involving linear operators, with operator unknowns Operator inequalities Operator means, shorted operators, etc. Structure theory Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators Representation theory Factorization theory (including Wiener-Hopf and spectral factorizations) (Generalized) eigenfunction expansions; rigged Hilbert spaces Eigenvalue problems Tensor products of operators None of the above, but in MSC2010 section 47Axx
skos:prefLabel	General theory of linear operators Teoria generale degli operatori lineari 线性算子的一般理论
skos:exactMatch	http://msc2010.org/resources/MSC/1991/47Axx http://msc2010.org/resources/MSC/2000/47Axx
skos:notation	47Axx
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-515.7246
is rdfs:seeAlso of	Spectral theory and eigenvalue problems
is broader concept of	General (adjoints, conjugates, products, inverses, domains, ranges, etc.) Linear relations (multivalued linear operators) Forms (bilinear, sesquilinear, multilinear) Spectrum, resolvent Local spectral properties Numerical range, numerical radius Several-variable operator theory (spectral, Fredholm, etc.) Invariant subspaces Cyclic vectors, hypercyclic and chaotic operators Dilations, extensions, compressions Spectral sets Norms (inequalities, more than one norm, etc.) Ergodic theory Scattering theory Canonical models for contractions and nonselfadjoint operators Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. Equations and inequalities involving linear operators, with vector unknowns Ill-posed problems, regularization (Semi-) Fredholm operators; index theories Perturbation theory Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) Operator methods in interpolation, moment and extension problems Operator approximation theory Functional calculus Equations involving linear operators, with operator unknowns Operator inequalities Operator means, shorted operators, etc. Structure theory Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators Representation theory Factorization theory (including Wiener-Hopf and spectral factorizations) (Generalized) eigenfunction expansions; rigged Hilbert spaces Eigenvalue problems Tensor products of operators None of the above, but in MSC2010 section 47Axx
is narrower concept of	Operator theory
is http://msc2010.org...0/msc2010#seeAlso of	Spectral theory and eigenvalue problems
is skos:semanticRelation of	Spectral theory and eigenvalue problems

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