Biblioteca Dr. Antonio Monteiro · Catálogo | |
46 | Functional analysis | ||
46-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
46-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
46-02 | Research exposition (monographs, survey articles) | ||
46-03 | Historical | ||
46-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
46-06 | Proceedings, conferences, collections, etc. | ||
46-99 | Functional analysis (not classified at a more specific level) | ||
46A | Topological linear spaces and related structures {For function spaces, see 46Exx} | ||
46A03 | General theory of locally convex spaces | ||
46A04 | Locally convex Fréchet spaces and (DF)-spaces | ||
46A08 | Barrelled spaces, bornological spaces | ||
46A11 | Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) | ||
46A13 | Spaces defined by inductive or projective limits (LB, LF, etc.) [See also 46M40] | ||
46A16 | Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) | ||
46A17 | Bornologies and related structures; Mackey convergence, etc. | ||
46A19 | Other `topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than ${\bf R}$, etc.) | ||
46A20 | Duality theory | ||
46A22 | Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10] | ||
46A25 | Reflexivity and semi-reflexivity [See also 46B10] | ||
46A30 | Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness) | ||
46A32 | Spaces of linear operators; topological tensor products; approximation properties [See also 46B28, 46M05, 47L05, 47L20] | ||
46A35 | Summability and bases [See also 46B15] | ||
46A40 | Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42] | ||
46A45 | Sequence spaces (including Köthe sequence spaces) [See also 46B45] | ||
46A50 | Compactness in topological linear spaces; angelic spaces, etc. | ||
46A55 | Convex sets in topological linear spaces; Choquet theory [See also 52A07] | ||
46A61 | Graded Fréchet spaces and tame operators | ||
46A63 | Topological invariants ((DN), ($\Omega$), etc.) | ||
46A70 | Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) | ||
46A80 | Modular spaces | ||
46A99 | None of the above, but in this section | ||
46B | Normed linear spaces and Banach spaces; Banach lattices {For function spaces, see 46Exx} | ||
46B03 | Isomorphic theory (including renorming) of Banach spaces | ||
46B04 | Isometric theory of Banach spaces | ||
46B07 | Local theory of Banach spaces | ||
46B08 | Ultraproduct techniques in Banach space theory [See also 46M07] | ||
46B09 | Probabilistic methods in Banach space theory [See also 60Bxx] | ||
46B10 | Duality and reflexivity [See also 46A25] | ||
46B15 | Summability and bases [See also 46A35] | ||
46B20 | Geometry and structure of normed linear spaces | ||
46B22 | Radon-Nikodym, Krein-Milman and related properties [See also 46G10] | ||
46B25 | Classical Banach spaces in the general theory | ||
46B26 | Nonseparable Banach spaces | ||
46B28 | Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20] | ||
46B40 | Ordered normed spaces [See also 46A40, 46B42] | ||
46B42 | Banach lattices [See also 46A40, 46B40] | ||
46B45 | Banach sequence spaces [See also 46A45] | ||
46B50 | Compactness in Banach (or normed) spaces | ||
46B70 | Interpolation between normed linear spaces [See also 46M35] | ||
46B99 | None of the above, but in this section | ||
46C | Inner product spaces and their generalizations, Hilbert spaces {For function spaces, see 46Exx} | ||
46C05 | Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) | ||
46C07 | Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) [See also 46B70, 46M35] | ||
46C15 | Characterizations of Hilbert spaces | ||
46C20 | Spaces with indefinite inner product (Krein spaces, Pontryagin spaces, etc.) [See also 47B50] | ||
46C50 | Generalizations of inner products (semi-inner products, partial inner products, etc.) | ||
46C99 | None of the above, but in this section | ||
46E | Linear function spaces and their duals [See also 30H05, 32A38, 46F05] {For function algebras, see 46J10} | ||
46E05 | Lattices of continuous, differentiable or analytic functions | ||
46E10 | Topological linear spaces of continuous, differentiable or analytic functions | ||
46E15 | Banach spaces of continuous, differentiable or analytic functions | ||
46E20 | Hilbert spaces of continuous, differentiable or analytic functions | ||
46E22 | Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) [See also 47B32] | ||
46E25 | Rings and algebras of continuous, differentiable or analytic functions {For Banach function algebras, see 46J10, 46J15} | ||
46E27 | Spaces of measures [See also 28A33, 46Gxx] | ||
46E30 | Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) | ||
46E35 | Sobolev spaces and other spaces of `smooth'' functions, embedding theorems, trace theorems | ||
46E39 | Sobolev (and similar kinds of) spaces of functions of discrete variables | ||
46E40 | Spaces of vector- and operator-valued functions | ||
46E50 | Spaces of differentiable or holomorphic functions on infinite-dimensional spaces [See also 46G20, 46G25, 47H60] | ||
46E99 | None of the above, but in this section | ||
46F | Distributions, generalized functions, distribution spaces [See also 46T30] | ||
46F05 | Topological linear spaces of test functions, distributions and ultradistributions [See also 46E10, 46E35] | ||
46F10 | Operations with distributions | ||
46F12 | Integral transforms in distribution spaces [See also 42-XX, 44-XX] | ||
46F15 | Hyperfunctions, analytic functionals [See also 32A25, 32A45, 32C35, 58J15] | ||
46F20 | Distributions and ultradistributions as boundary values of analytic functions [See also 30D40, 30E25, 32A40] | ||
46F25 | Distributions on infinite-dimensional spaces [See also 58C35] | ||
46F30 | Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) | ||
46F99 | None of the above, but in this section | ||
46G | Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also 28-XX, 46Txx] | ||
46G05 | Derivatives [See also 46T20, 58C20, 58C25] | ||
46G10 | Vector-valued measures and integration [See also 28Bxx, 46B22] | ||
46G12 | Measures and integration on abstract linear spaces [See also 28C20, 46T12] | ||
46G15 | Functional analytic lifting theory [See also 28A51] | ||
46G20 | Infinite-dimensional holomorphy [See also 32-XX, 46E50, 46T25, 58B12, 58C10] | ||
46G25 | (Spaces of) multilinear mappings, polynomials [See also 46E50, 46G20, 47H60] | ||
46G99 | None of the above, but in this section | ||
46H | Topological algebras, normed rings and algebras, Banach algebras {For group algebras, convolution algebras and measure algebras, see 43A10, 43A20} | ||
46H05 | General theory of topological algebras | ||
46H10 | Ideals and subalgebras | ||
46H15 | Representations of topological algebras | ||
46H20 | Structure, classification of topological algebras | ||
46H25 | Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) | ||
46H30 | Functional calculus in topological algebras [See also 47A60] | ||
46H35 | Topological algebras of operators [See mainly 47Lxx] | ||
46H40 | Automatic continuity | ||
46H70 | Nonassociative topological algebras [See also 46K70, 46L70] | ||
46H99 | None of the above, but in this section | ||
46J | Commutative Banach algebras and commutative topological [See also 46E25] | ||
46J05 | General theory of commutative topological algebras | ||
46J10 | Banach algebras of continuous functions, function algebras [See also 46E25] | ||
46J15 | Banach algebras of differentiable or analytic functions, ${H}^p$-spaces [See also 30D55, 30H05, 32A35, 32A37, 32A38, 42B30] | ||
46J20 | Ideals, maximal ideals, boundaries | ||
46J25 | Representations of commutative topological algebras | ||
46J30 | Subalgebras | ||
46J40 | Structure, classification of commutative topological algebras | ||
46J45 | Radical Banach algebras | ||
46J99 | None of the above, but in this section | ||
46K | Topological (rings and) algebras with an involution [See also 16W10] | ||
46K05 | General theory of topological algebras with involution | ||
46K10 | Representations of topological algebras with involution | ||
46K15 | Hilbert algebras | ||
46K50 | Nonselfadjoint (sub)algebras in algebras with involution | ||
46K70 | Nonassociative topological algebras with an involution [See also 46H70, 46L70] | ||
46K99 | None of the above, but in this section | ||
46L | Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx] | ||
46L05 | General theory of $C^*$-algebras | ||
46L06 | Tensor products of $C^*$-algebras | ||
46L07 | Operator spaces and completely bounded maps [See also 47L25] | ||
46L08 | $C^*$-modules | ||
46L09 | Free products of $C^*$-algebras | ||
46L10 | General theory of von Neumann algebras | ||
46L30 | States | ||
46L35 | Classifications of $C^*$-algebras, factors | ||
46L37 | Subfactors and their classification | ||
46L40 | Automorphisms | ||
46L45 | Decomposition theory for $C^*$-algebras | ||
46L51 | Noncommutative measure and integration | ||
46L52 | Noncommutative function spaces | ||
46L53 | Noncommutative probability and statistics | ||
46L54 | Free probability and free operator algebras | ||
46L55 | Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20] | ||
46L57 | Derivations, dissipations and positive semigroups in $C^*$-algebras | ||
46L60 | Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10] | ||
46L65 | Quantizations, deformations | ||
46L70 | Nonassociative selfadjoint operator algebras [See also 46H70, 46K70] | ||
46L80 | $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22] | ||
46L85 | Noncommutative topology [See also 58B32, 58B34, 58J22] | ||
46L87 | Noncommutative differential geometry [See also 58B32, 58B34, 58J22] | ||
46L89 | Other `noncommutative'' mathematics based on $C^*$-algebra theory [See also 58B32, 58B34, 58J22] | ||
46L99 | None of the above, but in this section | ||
46M | Methods of category theory in functional analysis [See also 18-XX] | ||
46M05 | Tensor products [See also 46A32, 46B28, 47A80] | ||
46M07 | Ultraproducts [See also 46B08, 46S20] | ||
46M10 | Projective and injective objects [See also 46A22] | ||
46M15 | Categories, functors {For $K$-theory, EXT, etc., see 19K33, 46L80, 46M18, 46M20} | ||
46M18 | Homological methods (exact sequences, right inverses, lifting, etc.) | ||
46M20 | Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) [See also 14F05, 18Fxx, 19Kxx, 32Cxx, 32Lxx, 46L80, 46M15, 46M18, 55Rxx] | ||
46M35 | Abstract interpolation of topological vector spaces [See also 46B70] | ||
46M40 | Inductive and projective limits [See also 46A13] | ||
46M99 | None of the above, but in this section | ||
46N | Miscellaneous applications of functional analysis [See also 47Nxx] | ||
46N10 | Applications in optimization, convex analysis, mathematical programming, economics | ||
46N20 | Applications to differential and integral equations | ||
46N30 | Applications in probability theory and statistics | ||
46N40 | Applications in numerical analysis [See also 65Jxx] | ||
46N50 | Applications in quantum physics | ||
46N55 | Applications in statistical physics | ||
46N60 | Applications in biology and other sciences | ||
46N99 | None of the above, but in this section | ||
46S | Other (nonclassical) types of functional analysis [See also 47Sxx] | ||
46S10 | Functional analysis over fields other than R or C or the quaternions; non-Archimedean functional analysis [See also 12J25, 32P05] | ||
46S20 | Nonstandard functional analysis [See also 03H05] | ||
46S30 | Constructive functional analysis [See also 03F60] | ||
46S40 | Fuzzy functional analysis [See also 03E72] | ||
46S50 | Functional analysis in probabilistic metric linear spaces | ||
46S60 | Functional analysis on superspaces (supermanifolds) or graded spaces [See also 58A50 and 58C50] | ||
46S99 | None of the above, but in this section | ||
46T | Nonlinear functional analysis [See also 47Hxx, 47Jxx, 58Cxx, 58Dxx] | ||
46T05 | Infinite-dimensional manifolds [See also 53Axx, 57N20, 58Bxx, 58Dxx] | ||
46T10 | Manifolds of mappings | ||
46T12 | Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds [See also 28Cxx, 46G12, 60-XX] | ||
46T20 | Continuous and differentiable maps [See also 46G05] | ||
46T25 | Holomorphic maps [See also 46G20] | ||
46T30 | Distributions and generalized functions on nonlinear spaces [See also 46Fxx] | ||
46T99 | None of the above, but in this section |
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