Frigyes Riesz

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Pour les articles homonymes, voir Riesz.

Frédéric Riesz
Frigyes Riesz.
Biographie
Naissance
Décès
Sépulture
Nationalité
Domicile
Formation
Activités
Fratrie
Marcel Riesz
Margit Ingrid Riesz-Pleijel (d)Voir et modifier les données sur Wikidata
Parentèle
Åke Pleijel (en) (beau-frère)Voir et modifier les données sur Wikidata
Autres informations
A travaillé pour
Membre de
Directeur de thèse
Gyula Vályi (en)Voir et modifier les données sur Wikidata
Distinctions
Prix Kossuth ()
Doctorat honoris causa de l'université de Paris ()
Prix de l’héritage hongrois (en) ()Voir et modifier les données sur Wikidata
Œuvres principales
Lemme de Riesz, Denjoy–Riesz theorem (d), théorème de F. et M. Riesz, Radon–Riesz theorem (d), théorème de représentation de RieszVoir et modifier les données sur Wikidata
Vue de la sépulture.

modifier - modifier le code - modifier WikidataDocumentation du modèle

Frigyes Riesz (Friedrich en allemand et Frédéric en français), né le à Győr et mort le à Budapest, est un mathématicien hongrois. Il est l'un des fondateurs de l'analyse fonctionnelle.

Biographie

Frigyes Riesz étudie à Budapest, Göttingen et Zurich. Il reçoit son doctorat en 1902 à l'université Loránd Eötvös de Budapest[1]. Il est appelé en 1911 pour une chaire à l'université Kolozsvár (en allemand Klausenburg, en Transylvanie). Comme Kolozsvár (aujourd'hui Cluj-Napoca, Roumanie) devient roumaine en 1920 avec la Paix du Trianon, l'université est déplacée à Szeged.
Riesz fonde avec Alfréd Haar en 1922 à Szeged l'Institut mathématique János-Bolyai (en). En 1945, il est rappelé à Budapest.

Riesz publie en hongrois, allemand et français ; ses écrits sont prisés pour leur clarté[2].

Le mathématicien Marcel Riesz est son frère cadet[2].

Travaux

Riesz est l'un des fondateurs de l'analyse fonctionnelle. Il prouve en 1907 le théorème aujourd'hui connu comme le théorème de Riesz-Fischer en analyse de Fourier dans les espaces de Hilbert, sur l'équivalence entre la mécanique matricielle et la mécanique ondulatoire.

Il est également à l'origine du théorème de compacité de Riesz qui fait le lien entre dimension et compacité des boules fermées dans un espace vectoriel normé. On lui doit aussi le théorème de représentation de Riesz qui établit une isométrie entre un espace de Hilbert et son dual.

On donne son nom à une catégorie d'espaces vectoriels ordonnés en son honneur : les espaces de Riesz (en).

Notes et références

  1. ↑ (en) « Frigyes Riesz », sur le site du Mathematics Genealogy Project.
  2. ↑ a et b (en) John J. O'Connor et Edmund F. Robertson, « Frigyes Riesz », sur MacTutor, université de St Andrews.

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