46-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)

• 46-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 46-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 46-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
• 46-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 46-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 46-XX Functional analysis ( 0 Dok.)
• 46A03 General theory of locally convex spaces ( 0 Dok.)
• 46A04 Locally convex Fréchet spaces and (DF)-spaces ( 0 Dok.)
• 46A08 Barrelled spaces, bornological spaces ( 0 Dok.)
• 46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) ( 0 Dok.)
• 46A13 Spaces defined by inductive or projective limits (LB, LF, etc.) ( 0 Dok.)
• 46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) ( 0 Dok.)
• 46A17 Bornologies and related structures; Mackey convergence, etc. ( 0 Dok.)
• 46A19 Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than , etc.) ( 0 Dok.)
• 46A20 Duality theory ( 0 Dok.)
• 46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators ( 0 Dok.)
• 46A25 Reflexivity and semi-reflexivity ( 0 Dok.)
• 46A30 Open mapping and closed graph theorems; completeness (including B-, B_r-completeness) ( 0 Dok.)
• 46A32 Spaces of linear operators; topological tensor products; approximation properties ( 0 Dok.)
• 46A35 Summability and bases ( 0 Dok.)
• 46A40 Ordered topological linear spaces, vector lattices ( 0 Dok.)
• 46A45 Sequence spaces (including Köthe sequence spaces) ( 0 Dok.)
• 46A50 Compactness in topological linear spaces; angelic spaces, etc. ( 0 Dok.)
• 46A55 Convex sets in topological linear spaces; Choquet theory ( 0 Dok.)
• 46A61 Graded Fréchet spaces and tame operators ( 0 Dok.)
• 46A63 Topological invariants ((DN), (Omega), etc.) ( 0 Dok.)
• 46A70 Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) ( 0 Dok.)
• 46A80 Modular spaces ( 0 Dok.)
• 46A99 None of the above, but in this section ( 0 Dok.)
• 46Axx Topological linear spaces and related structures ( 0 Dok. )
• 46B03 Isomorphic theory (including renorming) of Banach spaces ( 0 Dok.)
• 46B04 Isometric theory of Banach spaces ( 0 Dok.)
• 46B07 Local theory of Banach spaces ( 0 Dok.)
• 46B08 Ultraproduct techniques in Banach space theory ( 0 Dok.)
• 46B09 Probabilistic methods in Banach space theory ( 0 Dok.)
• 46B10 Duality and reflexivity ( 0 Dok.)
• 46B15 Summability and bases ( 0 Dok.)
• 46B20 Geometry and structure of normed linear spaces ( 0 Dok.)
• 46B22 Radon-Nikodym, Krein-Milman and related properties ( 0 Dok.)
• 46B25 Classical Banach spaces in the general theory ( 0 Dok.)
• 46B26 Nonseparable Banach spaces ( 0 Dok.)
• 46B28 Spaces of operators; tensor products; approximation properties ( 0 Dok.)
• 46B40 Ordered normed spaces ( 0 Dok.)
• 46B42 Banach lattices ( 0 Dok.)
• 46B45 Banach sequence spaces ( 0 Dok.)
• 46B50 Compactness in Banach (or normed) spaces ( 0 Dok.)
• 46B70 Interpolation between normed linear spaces ( 0 Dok.)
• 46B99 None of the above, but in this section ( 0 Dok.)
• 46Bxx Normed linear spaces and Banach spaces; Banach lattices ( 0 Dok. )
• 46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) ( 0 Dok.)
• 46C07 Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges,...) ( 0 Dok.)
• 46C15 Characterizations of Hilbert spaces ( 0 Dok.)
• 46C20 Spaces with indefinite inner product (Krein spaces, Pontryagin spaces,...) ( 0 Dok.)
• 46C50 Generalizations of inner products (semi-inner products, partial inner products, etc.) ( 0 Dok.)
• 46C99 None of the above, but in this section ( 0 Dok.)
• 46Cxx Inner product spaces and their generalizations, Hilbert spaces ( 0 Dok. )
• 46E05 Lattices of continuous, differentiable or analytic functions ( 0 Dok.)
• 46E10 Topological linear spaces of continuous, differentiable or analytic functions ( 0 Dok.)
• 46E15 Banach spaces of continuous, differentiable or analytic functions ( 0 Dok.)
• 46E20 Hilbert spaces of continuous, differentiable or analytic functions ( 0 Dok.)
• 46E22 Hilbert spaces with reproducing kernels (= functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) ( 0 Dok.)
• 46E25 Rings and algebras of continuous, differentiable or analytic functions ( 0 Dok.)
• 46E27 Spaces of measures ( 0 Dok.)
• 46E30 Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) ( 0 Dok.)
• 46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems ( 0 Dok.)
• 46E39 Sobolev (and similar kinds of) spaces of functions of discrete variables ( 0 Dok.)
• 46E40 Spaces of vector- and operator-valued functions ( 0 Dok.)
• 46E50 Spaces of differentiable or holomorphic functions on infinite-dimensional spaces ( 0 Dok.)
• 46E99 None of the above, but in this section ( 0 Dok.)
• 46Exx Linear function spaces and their duals ( 0 Dok. )
• 46F05 Topological linear spaces of test functions, distributions and ultradistributions ( 0 Dok.)
• 46F10 Operations with distributions ( 0 Dok.)
• 46F12 Integral transforms in distribution spaces ( 0 Dok.)
• 46F15 Hyperfunctions, analytic functionals ( 0 Dok.)
• 46F20 Distributions and ultradistributions as boundary values of analytic functions ( 0 Dok.)
• 46F25 Distributions on infinite-dimensional spaces ( 0 Dok.)
• 46F30 Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) ( 0 Dok.)
• 46F99 None of the above, but in this section ( 0 Dok.)
• 46Fxx Distributions, generalized functions, distribution spaces ( 0 Dok. )
• 46G05 Derivatives ( 0 Dok.)
• 46G10 Vector-valued measures and integration ( 0 Dok.)
• 46G12 Measures and integration on abstract linear spaces ( 0 Dok.)
• 46G15 Functional analytic lifting theory ( 0 Dok.)
• 46G20 Infinite-dimensional holomorphy ( 0 Dok.)
• 46G25 (Spaces of) multilinear mappings, polynomials ( 0 Dok.)
• 46G99 None of the above, but in this section ( 0 Dok.)
• 46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) ( 0 Dok. )
• 46H05 General theory of topological algebras ( 0 Dok.)
• 46H10 Ideals and subalgebras ( 0 Dok.)
• 46H15 Representations of topological algebras ( 0 Dok.)
• 46H20 Structure, classification of topological algebras ( 0 Dok.)
• 46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) ( 0 Dok.)
• 46H30 Functional calculus in topological algebras ( 0 Dok.)
• 46H35 Topological algebras of operators ( 0 Dok.)
• 46H40 Automatic continuity ( 0 Dok.)
• 46H70 Nonassociative topological algebras ( 0 Dok.)
• 46H99 None of the above, but in this section ( 0 Dok.)
• 46Hxx Topological algebras, normed rings and algebras, Banach algebras ( 0 Dok. )
• 46J05 General theory of commutative topological algebras ( 0 Dok.)
• 46J10 Banach algebras of continuous functions, function algebras ( 0 Dok.)
• 46J15 Banach algebras of differentiable or analytic functions, p-spaces ( 0 Dok.)
• 46J20 Ideals, maximal ideals, boundaries ( 0 Dok.)
• 46J25 Representations of commutative topological algebras ( 0 Dok.)
• 46J30 Subalgebras ( 0 Dok.)
• 46J40 Structure, classification of commutative topological algebras ( 0 Dok.)
• 46J45 Radical Banach algebras ( 0 Dok.)
• 46J99 None of the above, but in this section ( 0 Dok.)
• 46Jxx Commutative Banach algebras and commutative topological algebras ( 0 Dok. )
• 46K05 General theory of topological algebras with involution ( 0 Dok.)
• 46K10 Representations of topological algebras with involution ( 0 Dok.)
• 46K15 Hilbert algebras ( 0 Dok.)
• 46K50 Nonselfadjoint (sub)algebras in algebras with involution ( 0 Dok.)
• 46K70 Nonassociative topological algebras with an involution ( 0 Dok.)
• 46K99 None of the above, but in this section ( 0 Dok.)
• 46Kxx Topological (rings and) algebras with an involution ( 0 Dok. )
• 46L05 General theory of C*-algebras ( 0 Dok.)
• 46L06 Tensor products of C*-algebras ( 0 Dok.)
• 46L07 Operator spaces and completely bounded maps ( 0 Dok.)
• 46L08 C*-modules ( 0 Dok.)
• 46L09 Free products of C*-algebras ( 0 Dok.)
• 46L10 General theory of von Neumann algebras ( 0 Dok.)
• 46L30 States ( 0 Dok.)
• 46L35 Classifications of C*-algebras, factors ( 0 Dok.)
• 46L37 Subfactors and their classification ( 0 Dok.)
• 46L40 Automorphisms ( 0 Dok.)
• 46L45 Decomposition theory for C*-algebras Noncommutative measure, integration and probability ( 0 Dok.)
• 46L51 Noncommutative measure and integration ( 0 Dok.)
• 46L52 Noncommutative function spaces ( 0 Dok.)
• 46L53 Noncommutative probability and statistics ( 0 Dok.)
• 46L54 Free probability and free operator algebras ( 0 Dok.)
• 46L55 Noncommutative dynamical systems ( 0 Dok.)
• 46L57 Derivations, dissipations and positive semigroups in C*-algebras ( 0 Dok.)
• 46L60 Applications of selfadjoint operator algebras to physics ( 0 Dok.)
• 46L65 Quantizations, deformations ( 0 Dok.)
• 46L70 Nonassociative selfadjoint operator algebras ( 0 Dok.)
• 46L80 K-theory and operator algebras (including cyclic theory) ( 0 Dok.)
• 46L85 Noncommutative topology ( 0 Dok.)
• 46L87 Noncommutative differential geometry ( 0 Dok.)
• 46L89 Other ``noncommutative'' mathematics based on C*-algebra theory ( 0 Dok.)
• 46L99 None of the above, but in this section ( 0 Dok.)
• 46Lxx Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) ( 0 Dok. )
• 46M05 Tensor products ( 0 Dok.)
• 46M07 Ultraproducts ( 0 Dok.)
• 46M10 Projective and injective objects ( 0 Dok.)
• 46M15 Categories, functors ( 0 Dok.)
• 46M18 Homological methods (exact sequences, right inverses, lifting, etc.) ( 0 Dok.)
• 46M20 Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) ( 0 Dok.)
• 46M35 Abstract interpolation of topological vector spaces ( 0 Dok.)
• 46M40 Inductive and projective limits ( 0 Dok.)
• 46M99 None of the above, but in this section ( 0 Dok.)
• 46Mxx Methods of category theory in functional analysis ( 0 Dok. )
• 46N10 Applications in optimization, convex analysis, mathematical programming, economics ( 0 Dok.)
• 46N20 Applications to differential and integral equations ( 0 Dok.)
• 46N30 Applications in probability theory and statistics ( 0 Dok.)
• 46N40 Applications in numerical analysis ( 0 Dok.)
• 46N50 Applications in quantum physics ( 0 Dok.)
• 46N55 Applications in statistical physics ( 0 Dok.)
• 46N60 Applications in biology and other sciences ( 0 Dok.)
• 46N99 None of the above, but in this section ( 0 Dok.)
• 46Nxx Miscellaneous applications of functional analysis ( 0 Dok. )
• 46S10 Functional analysis over fields other than R or C or the quaternions; non-Archimedean functional analysis ( 0 Dok.)
• 46S20 Nonstandard functional analysis ( 0 Dok.)
• 46S30 Constructive functional analysis ( 0 Dok.)
• 46S40 Fuzzy functional analysis ( 0 Dok.)
• 46S50 Functional analysis in probabilistic metric linear spaces ( 0 Dok.)
• 46S60 Functional analysis on superspaces (supermanifolds) or graded spaces ( 0 Dok.)
• 46S99 None of the above, but in this section ( 0 Dok.)
• 46Sxx Other (nonclassical) types of functional analysis ( 0 Dok. )
• 46T05 Infinite-dimensional manifolds ( 0 Dok.)
• 46T10 Manifolds of mappings ( 0 Dok.)
• 46T12 Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds ( 0 Dok.)
• 46T20 Continuous and differentiable maps ( 0 Dok.)
• 46T25 Holomorphic maps ( 0 Dok.)
• 46T30 Distributions and generalized functions on nonlinear spaces ( 0 Dok.)
• 46T99 None of the above, but in this section ( 0 Dok.)
• 46Txx Nonlinear functional analysis ( 0 Dok. )

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Letzte Änderung: 14.07.10