About: Functional analysis

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Topological manifolds Infinite-dimensional manifolds
skos:inScheme	MSC 2010
narrower concept	General reference works (handbooks, dictionaries, bibliographies, etc.) Instructional exposition (textbooks, tutorial papers, etc.) Research exposition (monographs, survey articles) Historical concerning 46-XX Explicit machine computation and programs (not the theory of computation or programming) Proceedings, conferences, collections, etc. Topological linear spaces and related structures Normed linear spaces and Banach spaces; Banach lattices Inner product spaces and their generalizations, Hilbert spaces Linear function spaces and their duals Distributions, generalized functions, distribution spaces Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) Topological algebras, normed rings and algebras, Banach algebras Commutative Banach algebras and commutative topological algebras Topological (rings and) algebras with an involution Selfadjoint operator algebras (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras, von Neumann (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-) algebras, etc.) Methods of category theory in functional analysis Miscellaneous applications of functional analysis Other (nonclassical) types of functional analysis Nonlinear functional analysis
skos:prefLabel	Functional analysis 泛函分析(拓扑线性空间上的流形模型, 见57Nxx, 58Bxx)
skos:altLabel	Functional analysis {For manifolds modeled on topological linear spaces see 57Nxx, 58Bxx}
http://msc2010.org...sc2010#matchDewey	http://dewey.info/class/515/2009/08/
http://msc2010.org...#seeConditionally	Topological manifolds Infinite-dimensional manifolds
http://msc2010.org...10/msc2010#seeFor	http://msc2010.org/resources/MSC/2010/46-XX-to-57Nxx-seeFor http://msc2010.org/resources/MSC/2010/46-XX-to-58Bxx-seeFor
skos:closeMatch	from MSC1991 value of: Functional analysis, {For manifolds modeled on topological linear spaces, See 57N20, 58Bxx} from MSC2000 value of: Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}
skos:notation	46-XX
skos:note	For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx.
skos:semanticRelation	Topological manifolds Infinite-dimensional manifolds
skos:topConceptOf	MSC 2010
is rdfs:seeAlso of	Global analysis, analysis on manifolds
is broader concept of	General reference works (handbooks, dictionaries, bibliographies, etc.) Instructional exposition (textbooks, tutorial papers, etc.) Research exposition (monographs, survey articles) Historical concerning 46-XX Explicit machine computation and programs (not the theory of computation or programming) Proceedings, conferences, collections, etc. Topological linear spaces and related structures Normed linear spaces and Banach spaces; Banach lattices Inner product spaces and their generalizations, Hilbert spaces Linear function spaces and their duals Distributions, generalized functions, distribution spaces Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) Topological algebras, normed rings and algebras, Banach algebras Commutative Banach algebras and commutative topological algebras Topological (rings and) algebras with an involution Selfadjoint operator algebras (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras, von Neumann (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-) algebras, etc.) Methods of category theory in functional analysis Miscellaneous applications of functional analysis Other (nonclassical) types of functional analysis Nonlinear functional analysis
is http://msc2010.org...msc2010#forSource of	http://msc2010.org/resources/MSC/2010/46-XX-to-57Nxx-seeFor http://msc2010.org/resources/MSC/2010/46-XX-to-58Bxx-seeFor
is http://msc2010.org...0/msc2010#seeAlso of	Global analysis, analysis on manifolds
is skos:hasTopConcept of	MSC 2010
is skos:semanticRelation of	Global analysis, analysis on manifolds

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