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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}
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]
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]
46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) [See also 22D25, 47Lxx]
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]