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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