46-XX FUNCTIONAL ANALYSIS (For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx)
- 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 (must also be assigned at least one classification number from Section 01)
- 46-04 Explicit machine computation and programs (not the theory of computation or programming)
- 46-06 Proceedings, conferences, collections, etc.
- 46Axx Topological linear spaces and related structures (For function spaces, see 46Exx)
- 46Bxx Normed linear spaces and Banach spaces; Banach lattices (For function spaces, see 46Exx)
-
46Cxx Inner product spaces and their generalizations, Hilbert spaces (For function spaces, see 46Exx)
(1)
- 46Exx Linear function spaces and their duals [See also 30H05, 32A38, 46F05] (For function algebras, see 46J10)
-
46Fxx Distributions, generalized functions, distribution spaces [See also 46T30]
(1)
- 46Gxx Measures, integration, derivative, holomorphy (all involving infinite- dimensional spaces) [See also 28-XX, 46Txx]
- 46Hxx Topological algebras, normed rings and algebras, Banach algebras (For group algebras, convolution algebras and measure algebras, see 43A10, 43A20)
- 46Jxx Commutative Banach algebras and commutative topological algebras [See also 46E25]
- 46Kxx Topological (rings and) algebras with an involution [See also 16W10]
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46Lxx Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) [See also 22D25, 47Lxx]
(2)
- 46Mxx Methods of category theory in functional analysis [See also 18-XX]
- 46Nxx Miscellaneous applications of functional analysis [See also 47Nxx]
- 46Sxx Other (nonclassical) types of functional analysis [See also 47Sxx]
- 46Txx Nonlinear functional analysis [See also 47Hxx, 47Jxx, 58Cxx, 58Dxx]