Loterre: Matemáticas: Fredholm operator

mathematical analysis > functional analysis > operator > bounded operator > Fredholm operator

algebra > linear algebra > linear map > bounded operator > Fredholm operator

Fredholm operator

In mathematics, Fredholm operators are certain operators that arise in the Fredholm theory of integral equations. They are named in honour of Erik Ivar Fredholm. By definition, a Fredholm operator is a bounded linear operator T : X → Y between two Banach spaces with finite-dimensional kernel ${\\displaystyle \\ker T}$ and finite-dimensional (algebraic) cokernel ${\\displaystyle \\mathrm {coker} \\,T=Y/\\mathrm {ran} \\,T}$ , and with closed range ${\\displaystyle \\mathrm {ran} \\,T}$ . The last condition is actually redundant.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Fredholm_operator)

http://data.loterre.fr/ark:/67375/PSR-LP8KWBNB-W

RDF/XML TURTLE JSON-LD última modificación 12/10/23

LOTERRE