Riesz–Markov–Kakutani representation theorem

Riesz–Markov–Kakutani representation theorem

In mathematics, the Riesz–Markov–Kakutani representation theorem relates linear functionals on spaces of continuous functions on a locally compact space to measures in measure theory. The theorem is named for Frigyes Riesz who introduced it for continuous functions on the unit interval, Andrey Markov who extended the result to some non-compact spaces, and Shizuo Kakutani who extended the result to compact Hausdorff spaces.
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Banach–Alaoglu theoremBorel functional calculusBounded variationComplex measureContinuous functions on a compact Hausdorff spaceDensity on a manifoldDirac delta functionDual spaceExtremally disconnected spaceFunctional derivativeGelfand–Naimark–Segal constructionHaar measureHarmonic measurePartial tracePositive linear functionalPositive linear operatorRadon measureRiemann–Stieltjes integralRiesz-Markov-Kakutani representation theoremRiesz-Markov-Kakutani theoremRiesz-Markov representation theoremRiesz-Markov theoremRiesz representation theoremRiesz theoremRiesz–Markov representation theoremRiesz–Markov theoremRiesz–Markov–Kakutani theoremRiesz—Markov theoremSigned measureStone's theorem on one-parameter unitary groupsStone–Čech compactificationVague topology
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Riesz–Markov–Kakutani representation theorem

In mathematics, the Riesz–Markov–Kakutani representation theorem relates linear functionals on spaces of continuous functions on a locally compact space to measures in measure theory. The theorem is named for Frigyes Riesz who introduced it for continuous functions on the unit interval, Andrey Markov who extended the result to some non-compact spaces, and Shizuo Kakutani who extended the result to compact Hausdorff spaces.
Thing
http://dbpedia.org/resource/Riesz–Markov–Kakutani_representation_theorem
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In mathematics, the Riesz–Mark ...... measures or complex measures.
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Andrey Markov, Jr.
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Frigyes Riesz
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Shizuo Kakutani
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Andrey
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Frigyes
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Shizuo
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Kakutani
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Markov
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Riesz
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Riesz Representation Theorem
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RieszRepresentationTheorem
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In mathematics, the Riesz–Mark ...... t to compact Hausdorff spaces.
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Riesz–Markov–Kakutani representation theorem
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