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)
(2)
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]
(2)
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]
(1)
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]
(1)
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]
