Loterre: Matemáticas: compact operator

mathematical analysis > functional analysis > operator > compact operator

algebra > linear algebra > linear map > compact operator

compact operator

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)

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

RDF/XML TURTLE JSON-LD Creado 4/8/23, última modificación 4/8/23

LOTERRE