Frigyes Riesz was a Hungarian mathematician, born on 22 January 1880 and died on 28 February 1956, sometimes known in English and French as Frederic Riesz. He made fundamental contributions to functional analysis, the study of spaces of functions and the operators acting on them, as did his younger brother Marcel Riesz. Functional analysis treats functions as points of an infinite dimensional space, and Riesz was one of the mathematicians who gave that viewpoint its foundations in the early twentieth century.
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Frigyes Riesz
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Source Spectral Theory of Compact Operators (Wikipedia)
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Source Frigyes Riesz (Wikipedia)
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Source Riesz Representation Theorem (Wikipedia)
Source Riesz-Fischer theorem (Wikipedia)
Source Rising Sun Lemma (Wikipedia)
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Source Frigyes Riesz (Wikipedia)Lead paragraph [nationality-culture]Quote, Lead paragraph [nationality-culture]
was a Hungarian mathematician
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1. Frigyes Riesz (Wikipedia)
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his younger brother Marcel Riesz
Lead paragraph [nationality-culture]
was a Hungarian mathematician
In Branch: Functional Analysis, Lead paragraph [in-branch]
functional analysis
View the SourceRiesz-Fischer theorem (Wikipedia)
Proofs Credited: Riesz-Fischer Theorem, Lead paragraphQuote, Proofs Credited: Riesz-Fischer Theorem, Lead paragraph
In mathematics, the Riesz-Fischer theorem in real analysis is any of a number of closely related results concerning the properties of the space L2
Rising Sun Lemma (Wikipedia)
Proofs Credited: Rising Sun Lemma, Lead paragraphQuote, Proofs Credited: Rising Sun Lemma, Lead paragraph
In mathematical analysis, the rising sun lemma is a lemma due to Frigyes Riesz, used in the proof of the Hardy-Littlewood maximal theorem. The lemma was a precursor in one dimension of the Calderón-Zygmund
Spectral Theory of Compact Operators (Wikipedia)
Attributed Works: Spectral Theory of Compact Operators, Lead paragraphQuote, Attributed Works: Spectral Theory of Compact Operators, Lead paragraph
The spectral theory of compact operators was first developed by F. Riesz.
Riesz Representation Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Riesz Representation Theorem, LeadQuote, Proofs Credited: Riesz Representation Theorem, Lead
The Riesz representation theorem, sometimes called the Riesz-Fréchet representation theorem after Frigyes Riesz and Maurice René Fréchet, establishes an important connection between a Hilbert space and its continuous dual space.
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