Cesare Arzelà (6 March 1847 – 15 March 1912) was an Italian mathematician who taught at the University of Bologna and is recognized for his contributions in the theory of functions, particularly for his characterization of sequences of continuous functions, generalizing the one given earlier by Giulio Ascoli in the Arzelà–Ascoli theorem.
|Died||12 March 1912 (aged 64)|
Santo Stefano di Magra, La Spezia, Italy
|Alma mater||Scuola Normale Superiore|
|Known for||Arzelà-Ascoli theorem, contributions to Functional analysis, mathematical analysis|
|Institutions||Scuola Normale Superiore, University of Florence, University of Bologna|
|Doctoral advisor||Enrico Betti|
|Doctoral students||Leonida Tonelli|
He was a pupil of the Scuola Normale Superiore of Pisa where he graduated in 1869. Arzelà came from a poor household; therefore he could not start his study until 1871, when he studied in Pisa under Enrico Betti and Ulisse Dini.
After that he became a professor in 1880 at the University of Bologna at the department of analysis. He conducted research in the field of theory of functions. His most famous student was Leonida Tonelli.
He was a member of the Accademia Nazionale dei Lincei, and of several other academies.
- Arzelà, Cesare (7 May 1905), "Sulle funzioni di due variabili a variazione limitata (On functions of two variables of bounded variation)", Rendiconto delle sessioni della Reale Accademia delle scienze dell'Istituto di Bologna, Nuova serie, IX (4): 100–107, JFM 36.0491.02, archived from the original on 2007-08-07
- Tricomi, G. F. (1962). "Cesare Arzelà". Matematici italiani del primo secolo dello stato unitario (Italian mathematicians of the first century of the unitary state). Memorie dell'Accademia delle Scienze di Torino. Classe di Scienze fisiche matematiche e naturali. series IV (in Italian). I. p. 120. Zbl 0132.24405.. Available from the website of the Società Italiana di Storia delle Matematiche