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Nuclear operator

In mathematics, nuclear operators are an important class of linear operators introduced by Alexander Grothendieck in his doctoral dissertation. Nuclear operators are intimately tied to the projective tensor product of two topological vector spaces (TVSs).

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Preliminaries and notation

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Characterizations

2 related topics

Nuclear operators between Hilbert spaces

4 related topics

Nuclear operators between locally convex spaces

2 related topics

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Overview

Preliminaries and notation

Nuclear operators between Banach spaces

Nuclear operators between Hilbert spaces

Characterizations

Nuclear operators between locally convex spaces

Bibliography

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Nuclear operator

Nodes42
Edges41
Triples20
Avg. degree1.95
Density0.047619
Components1

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Nuclear operator

Top relations

see also · 11
Nuclear operator → Auxiliary, Banach, Coarsest, Compact, Euclidean, Generalization, Hilbert, Operator, Space, Tensor, Vector
related to Nuclear operators between Banach spaces · 9
Nuclear operator → Assuming, Banach, Explicitly, The, There, Thus, Tr, TVS-isomorphic, X'

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Important terminology

displaystyle spaces nuclear map continuous right operatorname left textstyle linear x' banach space vector isbn oclc convex pi tr topological

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Nuclear operatorrelated to Nuclear operators between Banach spacesThere0.60section
Nuclear operatorrelated to Nuclear operators between Banach spacesAssuming0.60section
Nuclear operatorrelated to Nuclear operators between Banach spacesBanach0.60section
Nuclear operatorrelated to Nuclear operators between Banach spacesX'0.60section
Nuclear operatorrelated to Nuclear operators between Banach spacesThus0.60section
Nuclear operatorrelated to Nuclear operators between Banach spacesThe0.60section
Nuclear operatorrelated to Nuclear operators between Banach spacesTVS-isomorphic0.60section
Nuclear operatorrelated to Nuclear operators between Banach spacesTr0.60section
Nuclear operatorrelated to Nuclear operators between Banach spacesExplicitly0.60section
Nuclear operatorsee alsoAuxiliary0.60section
Nuclear operatorsee alsoOperator0.60section
Nuclear operatorsee alsoCoarsest0.60section

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