Mathematics Subject Classification 2000
47-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 1 Dok.)
- 47-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
- 47-02 Research exposition (monographs, survey articles) ( 0 Dok.)
- 47-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
- 47-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
- 47-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
- 47-XX Operator theory ( 0 Dok.)
- 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) ( 0 Dok.)
- 47A06 Linear relations (multivalued linear operators) ( 0 Dok.)
- 47A07 Forms (bilinear, sesquilinear, multilinear) ( 0 Dok.)
- 47A10 Spectrum, resolvent ( 0 Dok.)
- 47A11 Local spectral properties ( 0 Dok.)
- 47A12 Numerical range, numerical radius ( 0 Dok.)
- 47A13 Several-variable operator theory (spectral, Fredholm, etc.) ( 0 Dok.)
- 47A15 Invariant subspaces ( 0 Dok.)
- 47A16 Cyclic and hypercyclic vectors ( 0 Dok.)
- 47A20 Dilations, extensions, compressions ( 0 Dok.)
- 47A25 Spectral sets ( 0 Dok.)
- 47A30 Norms (inequalities, more than one norm, etc.) ( 0 Dok.)
- 47A35 Ergodic theory ( 0 Dok.)
- 47A40 Scattering theory ( 0 Dok.)
- 47A45 Canonical models for contractions and nonselfadjoint operators ( 0 Dok.)
- 47A46 Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. ( 0 Dok.)
- 47A48 Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. ( 0 Dok.)
- 47A50 Equations and inequalities involving linear operators, with vector unknowns ( 0 Dok.)
- 47A52 Ill-posed problems, regularization ( 0 Dok.)
- 47A53 (Semi-) Fredholm operators; index theories ( 0 Dok.)
- 47A55 Perturbation theory ( 0 Dok.)
- 47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) ( 0 Dok.)
- 47A57 Operator methods in interpolation, moment and extension problems ( 0 Dok.)
- 47A58 Operator approximation theory ( 0 Dok.)
- 47A60 Functional calculus ( 0 Dok.)
- 47A62 Equations involving linear operators, with operator unknowns ( 0 Dok.)
- 47A63 Operator inequalities ( 0 Dok.)
- 47A64 Operator means, shorted operators, etc. ( 0 Dok.)
- 47A65 Structure theory ( 0 Dok.)
- 47A66 Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators ( 0 Dok.)
- 47A67 Representation theory ( 0 Dok.)
- 47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) ( 0 Dok.)
- 47A70 (Generalized) eigenfunction expansions; rigged Hilbert spaces ( 0 Dok.)
- 47A75 Eigenvalue problems ( 0 Dok.)
- 47A80 Tensor products of operators ( 0 Dok.)
- 47A99 None of the above, but in this section ( 0 Dok.)
- 47Axx General theory of linear operators ( 0 Dok. )
- 47B06 Riesz operators; eigenvalue distributions; approximation numbers, s-numbers, Kolmogorov numbers, entropy numbers, etc. of operators ( 0 Dok.)
- 47B07 Operators defined by compactness properties ( 0 Dok.)
- 47B10 Operators belonging to operator ideals (nuclear, p-summing, in the Schatten-von Neumann classes, etc.) ( 0 Dok.)
- 47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) ( 0 Dok.)
- 47B20 Subnormal operators, hyponormal operators, etc. ( 0 Dok.)
- 47B25 Symmetric and selfadjoint operators (unbounded) ( 0 Dok.)
- 47B32 Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) ( 0 Dok.)
- 47B33 Composition operators ( 0 Dok.)
- 47B34 Kernel operators ( 0 Dok.)
- 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators ( 0 Dok.)
- 47B36 Jacobi (tridiagonal) operators (matrices) and generalizations ( 0 Dok.)
- 47B37 Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) ( 0 Dok.)
- 47B38 Operators on function spaces (general) ( 0 Dok.)
- 47B39 Difference operators ( 0 Dok.)
- 47B40 Spectral operators, decomposable operators, well-bounded operators, etc. ( 0 Dok.)
- 47B44 Accretive operators, dissipative operators, etc. ( 0 Dok.)
- 47B47 Commutators, derivations, elementary operators, etc. ( 0 Dok.)
- 47B48 Operators on Banach algebras ( 0 Dok.)
- 47B49 Transformers (= operators on spaces of operators) ( 0 Dok.)
- 47B50 Operators on spaces with an indefinite metric ( 0 Dok.)
- 47B60 Operators on ordered spaces ( 0 Dok.)
- 47B65 Positive operators and order-bounded operators ( 0 Dok.)
- 47B80 Random operators ( 0 Dok.)
- 47B99 None of the above, but in this section ( 0 Dok.)
- 47Bxx Special classes of linear operators ( 0 Dok. )
- 47C05 Operators in algebras ( 0 Dok.)
- 47C10 Operators in *-algebras ( 0 Dok.)
- 47C15 Operators in C*- or von Neumann algebras ( 0 Dok.)
- 47C99 None of the above, but in this section ( 0 Dok.)
- 47Cxx Individual linear operators as elements of algebraic systems ( 0 Dok. )
- 47D03 Groups and semigroups of linear operators ( 0 Dok.)
- 47D06 One-parameter semigroups and linear evolution equations ( 0 Dok.)
- 47D07 Markov semigroups and applications to diffusion processes ( 0 Dok.)
- 47D08 Schrödinger and Feynman-Kac semigroups ( 1 Dok.)
- 47D09 Operator sine and cosine functions and higher-order Cauchy problems Operator algebras on Hilbert space Operator algebras on Banach spaces and other linear topological spaces Applications of operator algebras to physics ( 0 Dok.)
- 47D60 C-semigroups ( 0 Dok.)
- 47D62 Integrated semigroups ( 0 Dok.)
- 47D99 None of the above, but in this section ( 0 Dok.)
- 47Dxx Groups and semigroups of linear operators, their generalizations and applications ( 1 Dok. )
- 47E05 Ordinary differential operators ( 0 Dok.)
- 47F05 Partial differential operators ( 0 Dok.)
- 47G10 Integral operators ( 0 Dok.)
- 47G20 Integro-differential operators ( 0 Dok.)
- 47G30 Pseudodifferential operators ( 0 Dok.)
- 47G99 None of the above, but in this section ( 0 Dok.)
- 47Gxx Integral, integro-differential, and pseudodifferential operators ( 0 Dok. )
- 47H04 Set-valued operators ( 0 Dok.)
- 47H05 Monotone operators (with respect to duality) ( 0 Dok.)
- 47H06 Accretive operators, dissipative operators, etc. ( 0 Dok.)
- 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces ( 0 Dok.)
- 47H09 Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, A-proper mappings, K-set contractions, etc.) ( 0 Dok.)
- 47H10 Fixed-point theorems ( 0 Dok.)
- 47H11 Degree theory ( 0 Dok.)
- 47H14 Perturbations of nonlinear operators ( 0 Dok.)
- 47H20 Semigroups of nonlinear operators ( 0 Dok.)
- 47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskii, Uryson, etc.) ( 0 Dok.)
- 47H40 Random operators ( 0 Dok.)
- 47H50 Potential operators ( 0 Dok.)
- 47H60 Multilinear and polynomial operators ( 0 Dok.)
- 47H99 None of the above, but in this section ( 0 Dok.)
- 47Hxx Nonlinear operators and their properties ( 0 Dok. )
- 47J05 Equations involving nonlinear operators (general) ( 0 Dok.)
- 47J06 Nonlinear ill-posed problems ( 0 Dok.)
- 47J07 Abstract inverse mapping and implicit function theorems ( 0 Dok.)
- 47J10 Nonlinear eigenvalue problems ( 0 Dok.)
- 47J15 Abstract bifurcation theory ( 0 Dok.)
- 47J20 Variational and other types of inequalities involving nonlinear operators (general) ( 0 Dok.)
- 47J25 Methods for solving nonlinear operator equations (general) ( 0 Dok.)
- 47J30 Variational methods ( 0 Dok.)
- 47J35 Nonlinear evolution equations ( 0 Dok.)
- 47J40 Equations with hysteresis operators ( 0 Dok.)
- 47J99 None of the above, but in this section ( 0 Dok.)
- 47Jxx Equations and inequalities involving nonlinear operators ( 0 Dok. )
- 47L05 Linear spaces of operators ( 0 Dok.)
- 47L07 Convex sets and cones of operators ( 0 Dok.)
- 47L10 Algebras of operators on Banach spaces and other topological linear spaces ( 0 Dok.)
- 47L15 Operator algebras with symbol structure ( 0 Dok.)
- 47L20 Operator ideals ( 0 Dok.)
- 47L25 Operator spaces (=matricially normed spaces) ( 0 Dok.)
- 47L30 Abstract operator algebras on Hilbert spaces ( 0 Dok.)
- 47L35 Nest algebras, CSL algebras ( 0 Dok.)
- 47L40 Limit algebras, subalgebras of C*-algebras ( 0 Dok.)
- 47L45 Dual algebras; weakly closed singly generated operator algebras ( 0 Dok.)
- 47L50 Dual spaces of operator algebras ( 0 Dok.)
- 47L55 Representations of (nonselfadjoint) operator algebras ( 0 Dok.)
- 47L60 Algebras of unbounded operators; partial algebras of operators ( 0 Dok.)
- 47L65 Crossed product algebras (analytic crossed products) ( 0 Dok.)
- 47L70 Nonassociative nonselfadjoint operator algebras ( 0 Dok.)
- 47L75 Other nonselfadjoint operator algebras ( 0 Dok.)
- 47L80 Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) ( 0 Dok.)
- 47L90 Applications of operator algebras to physics ( 0 Dok.)
- 47L99 None of the above, but in this section ( 0 Dok.)
- 47Lxx Linear spaces and algebras of operators ( 0 Dok. )
- 47N10 Applications in optimization, convex analysis, mathematical programming, economics ( 0 Dok.)
- 47N20 Applications to differential and integral equations ( 0 Dok.)
- 47N30 Applications in probability theory and statistics ( 0 Dok.)
- 47N40 Applications in numerical analysis ( 0 Dok.)
- 47N50 Applications in quantum physics ( 0 Dok.)
- 47N55 Applications in statistical physics ( 0 Dok.)
- 47N60 Applications in biology and other sciences ( 0 Dok.)
- 47N70 Applications in systems theory, circuits, etc. ( 0 Dok.)
- 47N99 None of the above, but in this section ( 0 Dok.)
- 47Nxx Miscellaneous applications of operator theory ( 0 Dok. )
- 47S10 Operator theory over fields other than R, C or the quaternions; non-Archimedean operator theory ( 0 Dok.)
- 47S20 Nonstandard operator theory ( 0 Dok.)
- 47S30 Constructive operator theory ( 0 Dok.)
- 47S40 Fuzzy operator theory ( 0 Dok.)
- 47S50 Operator theory in probabilistic metric linear spaces ( 0 Dok.)
- 47S99 None of the above, but in this section ( 0 Dok.)
- 47Sxx Other (nonclassical) types of operator theory ( 0 Dok. )
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14.07.10 |