### 46-XX Functional analysis,

{For manifolds modeled on topological linear spaces, See 57N20, 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 be assigned at least one classification number from 01-XX)
- 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, 32E25, 46F05; for function algebras, See 46J10}
- 46Fxx Distributions, generalized functions, distribution spaces,
{For distribution theory on nonlinear spaces, See
58Cxx}
- 46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces), see Also {28-XX}
{For nonlinear functional analysis, See 47Hxx, 58-XX, especially 58Cxx}
- 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}
- 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}

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