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Hilbert–Schmidt operator

In mathematics, a Hilbert–Schmidt operator, named after David Hilbert and Erhard Schmidt, is a bounded operator A : H → H {\displaystyle A\colon H\to H} that acts on a Hilbert space H {\displaystyle H} and has finite Hilbert–Schmidt norm

Products, Space of Hilbert–Schmidt operators & Properties

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Space of Hilbert–Schmidt operators

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Hilbert–Schmidt operator

Nodes26
Edges25
Triples25
Avg. degree1.92
Density0.076923
Components1

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Hilbert–Schmidt operator

Top relations

related to Properties · 12
Hilbert–Schmidt operator → Every Hilbert, Frobenius, Hilbert, HS, If, In, In Euclidean, Schatten, Schmidt, ST, The, TS
related to Examples · 9
Hilbert–Schmidt operator → An, Ax, Every, Given, Hilbert, HS, If, Schmidt, The
related to Space of Hilbert–Schmidt operators · 4
Hilbert–Schmidt operator → Hilbert, HS, Schmidt, The

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Important terminology

hilbert schmidt displaystyle operator hs operators space bounded norm right sum left operatorname text finite ae finite-dimensional orthonormal basis linear

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hilbert–Schmidt operatorrelated to ExamplesAn0.60section
Hilbert–Schmidt operatorrelated to ExamplesHilbert0.60section
Hilbert–Schmidt operatorrelated to ExamplesSchmidt0.60section
Hilbert–Schmidt operatorrelated to ExamplesEvery0.60section
Hilbert–Schmidt operatorrelated to ExamplesThe0.60section
Hilbert–Schmidt operatorrelated to ExamplesGiven0.60section
Hilbert–Schmidt operatorrelated to ExamplesAx0.60section
Hilbert–Schmidt operatorrelated to ExamplesIf0.60section
Hilbert–Schmidt operatorrelated to ExamplesHS0.60section
Hilbert–Schmidt operatorrelated to PropertiesEvery Hilbert0.60section
Hilbert–Schmidt operatorrelated to PropertiesSchmidt0.60section
Hilbert–Schmidt operatorrelated to PropertiesHilbert0.60section

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