@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr: a skos:ConceptScheme .
psr:-TJ96QCNN-G
  skos:broader psr:-HX2VX066-P ;
  skos:prefLabel "théorème de Banach-Stone"@fr, "Banach-Stone theorem"@en ;
  dc:created "2023-08-04"^^xsd:date ;
  skos:definition """En mathématiques, le théorème de Banach-Stone, nommé d'après Stefan Banach et Marshall Stone, est un résultat d'analyse fonctionnelle selon lequel si deux espaces compacts ont le « même » espace vectoriel normé (à isomorphisme près) d'applications continues à valeurs complexes, alors ils sont homéomorphes. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Banach-Stone">https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Banach-Stone</a>)"""@fr, """In mathematics, the Banach–Stone theorem is a classical result in the theory of continuous functions on topological spaces, named after the mathematicians Stefan Banach and Marshall Stone. In brief, the Banach–Stone theorem allows one to recover a compact Hausdorff space <i>X</i> from the Banach space structure of the space <i>C</i>(<i>X</i>) of continuous real- or complex-valued functions on <i>X</i>. If one is allowed to invoke the algebra structure of <i>C</i>(<i>X</i>) this is easy – we can identify <i>X</i> with the spectrum of <i>C</i>(<i>X</i>), the set of algebra homomorphisms into the scalar field, equipped with the weak*-topology inherited from the dual space <i>C</i>(<i>X</i>)*. The Banach-Stone theorem avoids reference to multiplicative structure by recovering <i>X</i> from the extreme points of the unit ball of <i>C</i>(<i>X</i>)*. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Banach%E2%80%93Stone_theorem">https://en.wikipedia.org/wiki/Banach%E2%80%93Stone_theorem</a>)"""@en ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Banach%E2%80%93Stone_theorem>, <https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Banach-Stone> ;
  a skos:Concept ;
  dc:modified "2023-08-22"^^xsd:date ;
  skos:inScheme psr: .

psr:-HX2VX066-P
  skos:prefLabel "functional analysis"@en, "analyse fonctionnelle"@fr ;
  a skos:Concept ;
  skos:narrower psr:-TJ96QCNN-G .