Cesare Arzelà

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Cesare Arzelà
Cesare Arzelà.jpg
A relief portraying Cesare Arzela at the Mathematics Department of Bologna University
Born (1847-03-06)6 March 1847
Santo Stefano di Magra, La Spezia, Italy
Died 12 March 1912(1912-03-12) (aged 64)
Santo Stefano di Magra, La Spezia, Italy
Nationality Italian
Fields Mathematics
Institutions Scuola Normale Superiore, University of Florence, University of Bologna
Alma mater Scuola Normale Superiore
Doctoral advisor Enrico Betti
Doctoral students Leonida Tonelli
Known for Arzelà-Ascoli theorem, contributions to Functional analysis, mathematical analysis

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 famous Arzelà-Ascoli theorem.

Life[edit]

He was a pupil of the Scuola Normale Superiore of Pisa where he graduated in 1869. Arzela 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.

He was working in Florence (from 1875) and in 1878 obtained the Chair of Algebra at the University of Palermo.

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.

In 1889 he generalized the Ascoli theorem to Arzelà–Ascoli theorem, an important theorem in theory of functions.

He was a member of the Accademia Nazionale dei Lincei, and of several other academies.

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