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Fredholm kernel

In mathematics, a Fredholm kernel is a certain type of a kernel on a Banach space, associated with nuclear operators on the Banach space. They are an abstraction of the idea of the Fredholm integral equation and the Fredholm operator, and are one of the objects of study in Fredholm theory. Fredholm kernels are named in honour of Erik Ivar Fredholm. Much…

Grothendieck's theorem, Definition & Nuclear spaces

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Definition

Grothendieck's theorem

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Nuclear spaces

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Fredholm kernel

Nodes29
Edges28
Triples36
Avg. degree1.93
Density0.068966
Components1

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Fredholm kernel

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related to References · 31
Fredholm kernel → Acad, Amer, Becomes Infinite, Behavior, Bibcode, Bull, EMS PressFréchet, Encyclopedia, France, Fredholm, Grothendieck, Iterate, Khvedelidze, La, Litvinov, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Math, Mathematics
is a · 2
Fredholm kernel → certain type of a kernel on a Banach space, trace
related to Properties · 2
Fredholm kernel → Every Fredholm, Vert
related to p-summable kernels · 1
Fredholm kernel → Fredholm

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Important terminology

fredholm operator nuclear space banach kernels displaystyle kernel order grothendieck trace associated theory p-summable operators mathematics every defined said mathcal

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SubjectPredicateObjectConfidenceSrc
Fredholm kernelis acertain type of a kernel on a Banach space0.90text
Fredholm kernelis atrace0.90text
Fredholm kernelrelated to p-summable kernelsFredholm0.60section
Fredholm kernelrelated to PropertiesEvery Fredholm0.60section
Fredholm kernelrelated to PropertiesVert0.60section
Fredholm kernelrelated to ReferencesLock-green0.60section
Fredholm kernelrelated to ReferencesLock-gray-alt-20.60section
Fredholm kernelrelated to ReferencesLock-red-alt-20.60section
Fredholm kernelrelated to ReferencesWikisource-logo0.60section
Fredholm kernelrelated to ReferencesGrothendieck0.60section
Fredholm kernelrelated to ReferencesProduits0.60section
Fredholm kernelrelated to ReferencesMem0.60section

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