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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 47 | Operator theory | ||
| 47-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 47-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 47-02 | Research exposition (monographs, survey articles) | ||
| 47-03 | Historical | ||
| 47-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 47-06 | Proceedings, conferences, collections, etc. | ||
| 47-99 | Operator theory (not classified at a more specific level) | ||
| 47A | 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 and hypercyclic vectors | ||
| 47A20 | Dilations, extensions, compressions | ||
| 47A25 | Spectral sets | ||
| 47A30 | Norms (inequalities, more than one norm, etc.) | ||
| 47A35 | Ergodic theory [See also 28Dxx, 37Axx] | ||
| 47A40 | Scattering theory [See also 34L25, 35P25, 81Uxx] | ||
| 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 [See also 58B15, 58J20] | ||
| 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 [See also 30E05, 42A70, 42A82, 44A60] | ||
| 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 [See also 49R50] | ||
| 47A80 | Tensor products of operators [See also 46M05] | ||
| 47A99 | None of the above, but in this section | ||
| 47B | Special classes of linear operators | ||
| 47B06 | Riesz operators; eigenvalue distributions; approximation numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators | ||
| 47B07 | Operators defined by compactness properties | ||
| 47B10 | Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] | ||
| 47B15 | Hermitian and normal operators (spectral measures, functional calculus, etc.) | ||
| 47B20 | Subnormal operators, hyponormal operators, etc. | ||
| 47B25 | Symmetric and selfadjoint operators (unbounded) | ||
| 47B32 | Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] | ||
| 47B33 | Composition operators | ||
| 47B34 | Kernel operators | ||
| 47B35 | Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15] | ||
| 47B36 | Jacobi (tridiagonal) operators (matrices) and generalizations | ||
| 47B37 | Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) | ||
| 47B38 | Operators on function spaces (general) | ||
| 47B39 | Difference operators [See also 39A70] | ||
| 47B40 | Spectral operators, decomposable operators, well-bounded operators, etc. | ||
| 47B44 | Accretive operators, dissipative operators, etc. | ||
| 47B47 | Commutators, derivations, elementary operators, etc. | ||
| 47B48 | Operators on Banach algebras | ||
| 47B49 | Transformers (= operators on spaces of operators) | ||
| 47B50 | Operators on spaces with an indefinite metric [See also 46C50] | ||
| 47B60 | Operators on ordered spaces | ||
| 47B65 | Positive operators and order-bounded operators | ||
| 47B80 | Random operators [See also 60H25] | ||
| 47B99 | None of the above, but in this section | ||
| 47C | Individual linear operators as elements of algebraic systems | ||
| 47C05 | Operators in algebras | ||
| 47C10 | Operators in $^*$-algebras | ||
| 47C15 | Operators in $C^*$- or von Neumann algebras | ||
| 47C99 | None of the above, but in this section | ||
| 47D | Groups and semigroups of linear operators, their generalizations and applications | ||
| 47D03 | Groups and semigroups of linear operators {For nonlinear operators, see 47H20; see also 20M20} | ||
| 47D06 | One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] | ||
| 47D07 | Markov semigroups and applications to diffusion processes {For Markov processes, see 60Jxx} | ||
| 47D08 | Schrödinger and Feynman-Kac semigroups | ||
| 47D09 | Operator sine and cosine functions and higher-order Cauchy problems [See also 34G10] | ||
| 47D60 | $C$-semigroups | ||
| 47D62 | Integrated semigroups | ||
| 47D99 | None of the above, but in this section | ||
| 47E05 | Ordinary differential operators [See also 34Bxx, 34Lxx] | ||
| 47F05 | Partial differential operators [See also 35Pxx, 58Jxx] | ||
| 47G | Integral, integro-differential, and pseudodifferential operators [See also 58Jxx] | ||
| 47G10 | Integral operators [See also 45P05] | ||
| 47G20 | Integro-differential operators [See also 34K30, 35R10, 45J05, 45K05] | ||
| 47G30 | Pseudodifferential operators [See also 35Sxx, 58Jxx] | ||
| 47G99 | None of the above, but in this section | ||
| 47H | Nonlinear operators and their properties {For global and geometric aspects, see 58-XX, especially 58Cxx} | ||
| 47H04 | Set-valued operators [See also 28B20, 54C60, 58C06] | ||
| 47H05 | Monotone operators (with respect to duality) | ||
| 47H06 | Accretive operators, dissipative operators, etc. | ||
| 47H07 | Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces | ||
| 47H09 | Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, $A$-proper mappings, $K$-set contractions, etc.) | ||
| 47H10 | Fixed-point theorems [See also 54H25, 55M20, 58C30] | ||
| 47H11 | Degree theory [See also 55M25, 58C30] | ||
| 47H14 | Perturbations of nonlinear operators | ||
| 47H20 | Semigroups of nonlinear operators | ||
| 47H30 | Particular nonlinear operators (superposition, Hammerstein, Nemytskii, Uryson, etc.) [See also 45Gxx, 45P05] | ||
| 47H40 | Random operators [See also 60H25] | ||
| 47H50 | Potential operators | ||
| 47H60 | Multilinear and polynomial operators [See also 46G25] | ||
| 47H99 | None of the above, but in this section | ||
| 47J | Equations and inequalities involving nonlinear operators [See also 46Txx] {For global and geometric aspects, see 58-XX} | ||
| 47J05 | Equations involving nonlinear operators (general) | ||
| 47J06 | Nonlinear ill-posed problems | ||
| 47J07 | Abstract inverse mapping and implicit function theorems [See also 46T20 and 58C15] | ||
| 47J10 | Nonlinear eigenvalue problems | ||
| 47J15 | Abstract bifurcation theory [See also 58E07, 58E09] | ||
| 47J20 | Variational and other types of inequalities involving nonlinear operators (general) | ||
| 47J25 | Methods for solving nonlinear operator equations (general) | ||
| 47J30 | Variational methods [See also 58Exx] | ||
| 47J35 | Nonlinear evolution equations [See also 34G20, 35K90, 35L90, 35Qxx, 35R20, 37Kxx, 37Lxx, 58D25] | ||
| 47J40 | Equations with hysteresis operators | ||
| 47J99 | None of the above, but in this section | ||
| 47L | Linear spaces and algebras of operators [See also 46Lxx] | ||
| 47L05 | Linear spaces of operators [See also 46A32 and 46B28] | ||
| 47L07 | Convex sets and cones of operators [See also 46A55] | ||
| 47L10 | Algebras of operators on Banach spaces and other topological linear spaces | ||
| 47L15 | Operator algebras with symbol structure | ||
| 47L20 | Operator ideals | ||
| 47L25 | Operator spaces (= matricially normed spaces) [See also 46L07] | ||
| 47L30 | Abstract operator algebras on Hilbert spaces | ||
| 47L35 | Nest algebras, CSL algebras | ||
| 47L40 | Limit algebras, subalgebras of $C^*$-algebras | ||
| 47L45 | Dual algebras; weakly closed singly generated operator algebras | ||
| 47L50 | Dual spaces of operator algebras | ||
| 47L55 | Representations of (nonselfadjoint) operator algebras | ||
| 47L60 | Algebras of unbounded operators; partial algebras of operators | ||
| 47L65 | Crossed product algebras (analytic crossed products) | ||
| 47L70 | Nonassociative nonselfadjoint operator algebras | ||
| 47L75 | Other nonselfadjoint operator algebras | ||
| 47L80 | Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) | ||
| 47L90 | Applications of operator algebras to physics | ||
| 47L99 | None of the above, but in this section | ||
| 47N | Miscellaneous applications of operator theory [See also 46Nxx] | ||
| 47N10 | Applications in optimization, convex analysis, mathematical programming, economics | ||
| 47N20 | Applications to differential and integral equations | ||
| 47N30 | Applications in probability theory and statistics | ||
| 47N40 | Applications in numerical analysis [See also 65Jxx] | ||
| 47N50 | Applications in quantum physics | ||
| 47N55 | Applications in statistical physics | ||
| 47N60 | Applications in biology and other sciences | ||
| 47N70 | Applications in systems theory, circuits, etc. | ||
| 47N99 | None of the above, but in this section | ||
| 47S | Other (nonclassical) types of operator theory [See also 46Sxx] | ||
| 47S10 | Operator theory over fields other than R, C or the quaternions; non-Archimedean operator theory | ||
| 47S20 | Nonstandard operator theory [See also 03H05] | ||
| 47S30 | Constructive operator theory [See also 03F60] | ||
| 47S40 | Fuzzy operator theory [See also 03E72] | ||
| 47S50 | Operator theory in probabilistic metric linear spaces | ||
| 47S99 | None of the above, but in this section | ||
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