46-XX Functional analysis

• 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 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, 32E25, 46F05; for function algebras, see 46J10]
• 46Fxx Distributions, generalized functions, distribution spaces {For distribution theory on nonlinear spaces, see 58Cxx}
• 46Gxx Measure, 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]