About: Fredholm's theorem

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In mathematics, Fredholm's theorems are a set of celebrated results of Ivar Fredholm in the Fredholm theory of integral equations. There are several closely related theorems, which may be stated in terms of integral equations, in terms of linear algebra, or in terms of the Fredholm operator on Banach spaces. The Fredholm alternative is one of the Fredholm theorems.

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rdfs:label	Théorèmes de Fredholm (fr) Fredholm's theorem (en) Teoremi di Fredholm (it) フレドホルムの定理 (ja)
rdfs:comment	In mathematics, Fredholm's theorems are a set of celebrated results of Ivar Fredholm in the Fredholm theory of integral equations. There are several closely related theorems, which may be stated in terms of integral equations, in terms of linear algebra, or in terms of the Fredholm operator on Banach spaces. The Fredholm alternative is one of the Fredholm theorems. (en) En mathématiques, les théorèmes de Fredholm sont un ensemble de résultats célèbres produit par Ivar Fredholm et s'intégrant dans la théorie de Fredholm des équations intégrales. Il existe plusieurs théorèmes étroitement liés, pouvant être énoncés via des équations intégrales, l'algèbre linéaire ou l'opérateur de Fredholm sur les espaces de Banach. L'alternative de Fredholm est l'un des théorèmes de Fredholm. (fr) フレドホルムの定理 (英語 : Fredholm's theorems) とは、エリック・イヴァル・フレドホルム (Erik Ivar Fredholm) の積分方程式の理論であるフレドホルム理論から導かれる、有名ないくつかの結果のことをいう。それらの定理は互いに密接に関係し、いくつかの文脈、積分方程式や線形代数、バナッハ空間上のフレドホルム作用素で説明される。フレドホルムの交代定理 (Fredholm alternative) はフレドホルムの定理のひとつである。 (ja) In matematica, i teoremi di Fredholm sono un insieme di risultati dovuti a Ivar Fredholm nell'ambito della teoria di Fredholm delle equazioni integrali. Si tratta di teoremi strettamente correlati che possono essere esposti nell'ambito delle equazioni integrali, dell'algebra lineare o dell'operatore di Fredholm su spazi di Banach. Tra i vari teoremi vi è anche l'alternativa di Fredholm. (it)
dcterms:subject	Fredholm theory Theorems in functional analysis Linear algebra
Wikipage page ID	1955708 (xsd:integer)
Wikipage revision ID	986767769 (xsd:integer)
Link from a Wikipage to another Wikipage	Integral operator Complex number Fredholm theory Theorems in functional analysis Mathematics Matrix (mathematics) Orthogonal Linear algebra Complex conjugate Banach space Linear algebra Riemannian manifold Homogeneous polynomial Fredholm alternative Fredholm operator Fredholm theory Integral kernel Orthogonal complement Linearly independent Integral equations Ivar Fredholm Square integrable Row space Fredholm equation Null space
sameAs	Fredholm's theorem Fredholm's theorem Fredholm's theorem Fredholm's theorem Fredholm's theorem Fredholm's theorem Fredholm's theorem
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Mathworld dbt:Functional_analysis
author	B.V. Khvedelidze (en)
title	Fredholm theorems (en) Fredholm's Theorem (en)
urlname	FredholmsTheorem (en)
has abstract	In mathematics, Fredholm's theorems are a set of celebrated results of Ivar Fredholm in the Fredholm theory of integral equations. There are several closely related theorems, which may be stated in terms of integral equations, in terms of linear algebra, or in terms of the Fredholm operator on Banach spaces. The Fredholm alternative is one of the Fredholm theorems. (en) En mathématiques, les théorèmes de Fredholm sont un ensemble de résultats célèbres produit par Ivar Fredholm et s'intégrant dans la théorie de Fredholm des équations intégrales. Il existe plusieurs théorèmes étroitement liés, pouvant être énoncés via des équations intégrales, l'algèbre linéaire ou l'opérateur de Fredholm sur les espaces de Banach. L'alternative de Fredholm est l'un des théorèmes de Fredholm. (fr) フレドホルムの定理 (英語 : Fredholm's theorems) とは、エリック・イヴァル・フレドホルム (Erik Ivar Fredholm) の積分方程式の理論であるフレドホルム理論から導かれる、有名ないくつかの結果のことをいう。それらの定理は互いに密接に関係し、いくつかの文脈、積分方程式や線形代数、バナッハ空間上のフレドホルム作用素で説明される。フレドホルムの交代定理 (Fredholm alternative) はフレドホルムの定理のひとつである。 (ja) In matematica, i teoremi di Fredholm sono un insieme di risultati dovuti a Ivar Fredholm nell'ambito della teoria di Fredholm delle equazioni integrali. Si tratta di teoremi strettamente correlati che possono essere esposti nell'ambito delle equazioni integrali, dell'algebra lineare o dell'operatore di Fredholm su spazi di Banach. Tra i vari teoremi vi è anche l'alternativa di Fredholm. (it)
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is Link from a Wikipage to another Wikipage of	Erik Ivar Fredholm Harmonic coordinates Fredholm Fredholm alternative Fredholm theory List of theorems Fredholm's theorems Fredholm theorem Fredholm theorems
is Wikipage redirect of	Fredholm's theorems Fredholm theorem Fredholm theorems
is Wikipage disambiguates of	Fredholm
is known for of	Erik Ivar Fredholm
is known for of	Erik Ivar Fredholm
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