Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations.
Adriaan Cornelis ZaanenAnnals of Functional AnalysisBanach Journal of Mathematical AnalysisCharles Dwight LahrElisabeth M. WernerGriffith C. EvansGrigorii FichtenholzJournal of Functional AnalysisKeith Martin BallLamberto CesariLionel Cooper (mathematician)Mark TomfordeMarshall Harvey StoneMeyer JerisonMichael AizenmanPer EnfloPeter OrnoPia NalliRalph S. PhillipsRenato CaccioppoliRhonda HughesRobert PhelpsSalvatore PincherleV. S. SunderVladimir MarkovicWinifred SargentYewande Olubummo
academic discipline
influenced
Alexandru GhikaAli AbkarAndrew BrowderAndrey Nikolayevich TikhonovBéla BollobásCesare ArzelàE. H. MooreFelix BrowderFrigyes RieszGilles PisierJames Stewart (mathematician)Joel Shapiro (mathematician)John RainwaterJonathan BorweinJonathan PartingtonLamberto CesariLawrence Paul HorwitzLeonid KantorovichMark KreinMaurice René FréchetStefan BanachSvetozar KurepaTimothy GowersVera Nikolaevna MaslennikovaYuri Petunin
known for
Wikipage disambiguates
20th century20th century in science4-digit UNESCO NomenclatureAbelian von Neumann algebraAbraham PlessnerAbsolute convergenceAbsorbing setAbstract L-spaceAbstract m-spaceAdjoint functorsAdriaan Cornelis ZaanenAjit Iqbal SinghAlbrecht BöttcherAleksander PełczyńskiAleksandr GorbanAleksei Ivanovich MarkushevichAlex ChigogidzeAlexander GrothendieckAlexander L. RosenbergAlexandru GhikaAlgebra (disambiguation)Algebra over a fieldAlgebraic interiorAli AbkarAli ÜlgerAllen ShieldsAlmost open mapAluthge transformAmenable Banach algebraAnalysisAnalysis of Boolean functionsAnderson–Kadec theoremAndreu Mas-ColellAndrew BrowderAndrey Nikolayevich TikhonovAndrzej AlexiewiczAngela SpalsburyAnna Johnson Pell WheelerAnna MazzucatoAnnals of Functional Analysis
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Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations.
has abstract
A análise funcional é o ramo d ...... a do ponto fixo de Schauder
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Analisis fungsional adalah sua ...... as analisis fungsional modern.
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Analiza funkcjonalna – dział a ...... go matematyka Stefana Banacha.
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Binnen de wiskunde is function ...... oneindig-dimensionale analyse.
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Die Funktionalanalysis ist der ...... eller Differentialgleichungen.
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El análisis funcional es la ra ...... orema del punto fijo de Banach
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Functional analysis is a branc ...... infinite dimensional analysis.
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Funkcionální analýza je matema ...... zy je považován Stefan Banach.
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Funktionalanalys är den gren i ...... r funktioner i ett Hilbertrum.
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L'analisi funzionale è il sett ...... è attribuito a Vito Volterra.
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Wikipage page ID
page length (characters) of wiki page
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1,025,411,140
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Functional Analysis
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Functional analysis
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Functional analysis
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A análise funcional é o ramo d ...... uântica em espaços de Hilbert.
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Analisis fungsional adalah sua ...... kajian persamaan diferensial.
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Analiza funkcjonalna – dział a ...... go matematyka Stefana Banacha.
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Binnen de wiskunde is function ...... past op functies van functies.
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Die Funktionalanalysis ist der ...... eller Differentialgleichungen.
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El análisis funcional es la ra ...... iene dado por los espacios Lp.
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Functional analysis is a branc ...... ential and integral equations.
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Funkcionální analýza je matema ...... zy je považován Stefan Banach.
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Funktionalanalys är den gren i ...... mindre struktur, t.ex. , och .
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L'analisi funzionale è il sett ...... è attribuito a Vito Volterra.
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label
Analisi funzionale
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Analisis fungsional
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Analiza funkcjonalna
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Analyse fonctionnelle (mathématiques)
@fr
Anàlisi funcional
@ca
Análise funcional
@pt
Análisis funcional
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Functionaalanalyse
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Functional analysis
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Funkcionální analýza
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