22 January 1880|
|Died||28 February 1956
|Known for||functional analysis
Riesz representation theorem
F. and M. Riesz theorem
|Doctoral advisor||Gyula Vályi|
|Doctoral students||János Aczél
Life and career
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. The post-WW1 Treaty of Trianon transferred former Austro-Hungarian territory including Kolozsvár to the Kingdom of Romania, whereupon Kolozsvár's name changed to Cluj-Napoca, Romania and the University of Kolozsvár moved to Szeged, Hungary, becoming the University of Szeged. Then, Riesz was the rector and a professor at the University of Szeged, as well as a member of the Hungarian Academy of Sciences. 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. He also made many contributions to other areas including ergodic theory and he gave an elementary proof of the mean ergodic theorem.
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.
- Denjoy–Riesz theorem
- Riesz representation theorem
- F. and M. Riesz theorem
- Proximity space
- Riesz-Fischer theorem
- Riesz space
- Radon-Riesz property
- Riesz's lemma
- Eberhard Zeidler: Nonlinear Functional Analysis and Its Applications: Linear monotone operators. Springer, 1990 
- Calendar of Historical Events, Births, Holidays and Observances
- Lorch, Edgar, R. (1993). Hersh, Rubem, ed. "Szeged in 1934". Amer. Math. Monthly. 100 (3): 219–230. doi:10.2307/2324453. JSTOR 2324453.
- János Horváth: A Panorama of Hungarian Mathematics in the Twentieth Century, Volume 1, Springer, 2006 
- Wróblewski, Andrzej Kajetan (September 2008). "Czyściec, niebo i piekło". Wiedza i Życie: 65.
- Frigyes Riesz at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Frigyes Riesz", MacTutor History of Mathematics archive, University of St Andrews.
- Hersh, Reuben; John-Steiner, Vera (1993). "A Visit to Hungarian Mathematics" (PDF). Mathematical Intelligencer. 15 (2): 13–26. doi:10.1007/bf03024187.