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Concept information

mathematical analysis > functional analysis > operator > compact operator
algebra > linear algebra > linear map > compact operator

Terme préférentiel

compact operator  

Définition(s)

  • In functional analysis, a branch of mathematics, a compact operator is a linear operator T : X → Y, where X, Y are normed vector spaces, with the property that T maps bounded subsets of X to relatively compact subsets of Y (subsets with compact closure in Y). Such an operator is necessarily a bounded operator, and so continuous. Some authors require that X, Y are Banach, but the definition can be extended to more general spaces.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Compact_operator)

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http://data.loterre.fr/ark:/67375/PSR-NSHJDD8Z-W

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RDF/XML TURTLE JSON-LD Date de création 04/08/2023, dernière modif. 04/08/2023