(1875-1961)
He graduated in Turin in 1896 as a student of Corrado Segre. He became a professor in Cagliari in 1906 and then moved to Parma and finally to Bologna in 1910. He remained there until 1938, when he was removed from the professorship due to the racial laws. He moved to Argentina where he also wanted to stay after the renewal of the offer of the teaching in Bologna. He worked on Dirichelet's principles after Arzelà and Hilbert. He introduced what were called the Beppo Levi's functions until they were reduced to the class of Sobolev functions. He worked on problems of algebraic geometry and the foundations of calculus. He was among the first to critically evaluate issues related to Zermelo's postulates. He was also responsible for the integration theorem of monotone sequences, which was important in the theory of the Lebesgue integral.
(Source: "Il Dipartimento di Matematica dell'Università di Bologna: Personale, strutture, attività di ricerca - Anno accademico 1988-89" a cura di M. Bernabei e P. Negrini, editrice CLUEB)