Frigyes Riesz

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Frigyes Riesz
Frigyes Riesz.jpeg
Born (1880-01-22)22 January 1880
Győr, Austria-Hungary
Died 28 February 1956(1956-02-28) (aged 76)
Budapest, Hungary
Residence Hungary
Citizenship Hungarian
Known for functional analysis
integral equations
ergodic theory
Riesz representation theorem
Riesz–Fischer theorem
Riesz space
Hardy space
Lp space
Riesz's lemma
Radon–Riesz property
proximity space
F. and M. Riesz theorem
Scientific career
Fields Mathematics
Doctoral advisor Gyula Vályi
Doctoral students János Aczél
Steven Gaal
Tibor Radó
Alfréd Rényi

Frigyes Riesz (Hungarian: Riesz Frigyes, pronounced [ˈriːs ˈfriɟɛʃ]; 22 January 1880 – 28 February 1956) was a Hungarian[1][2] mathematician who made fundamental contributions to functional analysis.

Life and career[edit]

He was born into a Jewish family in Győr, Kingdom of Hungary, Austria-Hungary and died in Budapest, Hungary. Between 1911 and 1919 he was a professor at the Franz Joseph University in Kolozsvár, Austria-Hungary. Then, he was the rector and a professor at the University of Szeged, as well as a member of the Hungarian Academy of Sciences.[3] and the Polish Academy of Learning. He was the older brother of the mathematician Marcel Riesz.

Riesz did some of the fundamental work in developing functional analysis and his work has had a number of important applications in physics. He established the spectral theory for bounded symmetric operators in a form very much like that now regarded as standard.[1] He also made many contributions to other areas including ergodic theory and he gave an elementary proof of the mean ergodic theorem.

Riesz founded the Acta Scientiarum Mathematicarum journal together with Alfréd Haar.

He had an uncommon method of giving lectures: he entered the lecture hall with an assistant and a docent. The docent then began reading the proper passages from Riesz's handbook and the assistant inscribed the appropriate equations on the blackboard—while Riesz himself stood aside, nodding occasionally.[4]


See also[edit]


  1. ^ a b Eberhard Zeidler: Nonlinear Functional Analysis and Its Applications: Linear monotone operators. Springer, 1990 [1]
  2. ^ Calendar of Historical Events, Births, Holidays and Observances
  3. ^ János Horváth: A Panorama of Hungarian Mathematics in the Twentieth Century, Volume 1, Springer, 2006 [2]
  4. ^ Wróblewski, Andrzej Kajetan (September 2008). "Czyściec, niebo i piekło". Wiedza i Życie: 65. 

External links[edit]