46-XX
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- | <H3>46-XX Functional analysis {For manifolds modeled on topological linear spaces, see [[57Nxx |57Nxx]], [[58Bxx |58Bxx]]} {[http://localhost/~pion/msc2010/msc2007/46-XX.html Info & Stats]}</H3> | + | <H3>46-XX Functional analysis {For manifolds modeled on topological linear spaces, see [[57Nxx |57Nxx]], [[58Bxx |58Bxx]]} {[http://msc2010.org/msc2007/46-XX.html Info & Stats]}</H3> |
<HR> | <HR> | ||
* '''46-00''' General reference works (handbooks, dictionaries, bibliographies, etc.) | * '''46-00''' General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
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* '''[[46Fxx]]''' Distributions, generalized functions, distribution spaces [See also [[46Txx |46T30]]] | * '''[[46Fxx]]''' Distributions, generalized functions, distribution spaces [See also [[46Txx |46T30]]] | ||
* '''[[46Gxx]]''' Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also [[28-XX |28-XX]], [[46Txx |46Txx]]] | * '''[[46Gxx]]''' Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also [[28-XX |28-XX]], [[46Txx |46Txx]]] | ||
- | * '''[[46Hxx]]''' Topological algebras, normed rings and algebras, Banach algebras {For group algebras, convolution algebras and measure algebras, see [[43Axx |43A10]], [[43Axx |43A20]]} | + | * '''[[46Hxx]]''' Topological algebras, normed rings and algebras, Banach algebras {For group algebras, convolution algebras and measure algebras, see [[43-XX#43A10 |43A10]], [[43-XX#43A20 |43A20]]} |
* '''[[46Jxx]]''' Commutative Banach algebras and commutative topological algebras [See also [[46Exx |46E25]]] | * '''[[46Jxx]]''' Commutative Banach algebras and commutative topological algebras [See also [[46Exx |46E25]]] | ||
* '''[[46Kxx]]''' Topological (rings and) algebras with an involution [See also [[16Wxx |16W10]]] | * '''[[46Kxx]]''' Topological (rings and) algebras with an involution [See also [[16Wxx |16W10]]] | ||
- | * '''[[46Lxx]]''' Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) [See also [[22Dxx |22D25]], [[47Lxx |47Lxx]]] | + | * '''[[46Lxx]]''' Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also [[22Dxx |22D25]], [[47Lxx |47Lxx]]] |
* '''[[46Mxx]]''' Methods of category theory in functional analysis [See also [[18-XX |18-XX]]] | * '''[[46Mxx]]''' Methods of category theory in functional analysis [See also [[18-XX |18-XX]]] | ||
* '''[[46Nxx]]''' Miscellaneous applications of functional analysis [See also [[47Nxx |47Nxx]]] | * '''[[46Nxx]]''' Miscellaneous applications of functional analysis [See also [[47Nxx |47Nxx]]] | ||
* '''[[46Sxx]]''' Other (nonclassical) types of functional analysis [See also [[47Sxx |47Sxx]]] | * '''[[46Sxx]]''' Other (nonclassical) types of functional analysis [See also [[47Sxx |47Sxx]]] | ||
* '''[[46Txx]]''' Nonlinear functional analysis [See also [[47Hxx |47Hxx]], [[47Jxx |47Jxx]], [[58Cxx |58Cxx]], [[58Dxx |58Dxx]]] | * '''[[46Txx]]''' Nonlinear functional analysis [See also [[47Hxx |47Hxx]], [[47Jxx |47Jxx]], [[58Cxx |58Cxx]], [[58Dxx |58Dxx]]] |
Current revision
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46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} {Info & Stats}
- 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]