Frigyes Riesz

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Frigyes Riesz

Frigyes Riesz [ ˈfriɟɛʃ ri: s ] (first name also German Friedrich or French Frédéric , born January 22, 1880 in Győr ; † February 28, 1956 in Budapest ) was a Hungarian mathematician who made significant contributions to functional analysis.


Frigyes Riesz was the older brother of Marcel Riesz . He studied in Budapest, Göttingen and Zurich and received his doctorate in 1902 at the Eötvös-Loránd University in Budapest. In 1911 he was appointed to a chair at the University of Kolozsvár (Eng. Cluj-Napoca , Transylvania ). When Kolozsvár (now Cluj-Napoca , Romania ) became Romanian with the Peace of Trianon in 1920, the university was moved to Szeged . Together with Alfréd Haar , Riesz founded the János Bolyai Institute for Mathematics in Szeged in 1922 . In 1945 he followed a call to Budapest.

Riesz published in Hungarian, German and French; his writings are praised for their exceptional clarity.

Riesz was one of the founders of functional analysis . In 1907 he proved the day for him and Ernst Fischer named set on the Fourier analysis of Hilbert spaces , on the equivalence of Matrizen- and wave mechanics is based. In addition, the Radon-Riesz theorem is named after him, which specifies criteria under which the convergence in the p-th mean and the weak convergence are equivalent, as well as the Riesz-Markow representation theorem , which characterizes the positive linear forms on certain function spaces by means of measures .

In his honor, vector spaces with a suitable association structure are called Riesz spaces .

In 1932 he gave a plenary lecture at the International Congress of Mathematicians in Zurich (Sur l'existence de la dérivée des fonctions d'une variable réelle et des fonctions d'intervalle). In 1948 he was accepted as a corresponding member of the Académie des sciences in Paris. In 1954 he became a corresponding member of the Bavarian Academy of Sciences .



  • Laura Regina Rodríguez Hernández: Friedrich Riesz 'contributions to the development of the modern mathematical concept of abstract spaces. Syntheses of intellectual cultures in Hungary, France and Germany. Dissertation, University of Mainz 2006 ( full text ).
  • Erwin Kreyszig: Friedrich Riesz as a pioneer of functional analysis. In: Elements of Mathematics. Vol. 45, No. 5, 1990, pp. 117–144, (digitized version of the Göttingen digitization center.)

See also

Web links

Individual evidence

  1. Frigyes Riesz in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ List of members since 1666: Letter R. Académie des sciences, accessed on February 21, 2020 (French).