Giulio Ascoli (mathematician)

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Giulio Ascoli (born January 20, 1843 in Trieste , † July 12, 1896 in Milan ) was an Italian mathematician .

Ascoli finished studying mathematics at the Scuola Normale Superiore in Pisa in 1868 . From 1872 he was professor of algebra and analysis at the Milan Polytechnic . In 1879 he became professor of mathematics at the Polytechnic in Turin (Reale Istituto Tecnico Superiore).

He was a corresponding member of the Milan Science Academy ( Istituto Lombardo ).

His main field were real functions and Fourier series. In 1884 he introduced equal continuity . The phrase by Arzelà-Ascoli can be traced back to him, also named after Cesare Arzelà , who expanded it in 1889. In this he proved the relative compactness (as was formulated later) of sets of equally continuous and uniformly bounded functions. This became a basis for the further development of functional analysis at Maurice Fréchet .

His son Guido Ascoli was also a well-known mathematician.

Web links

Individual evidence

  1. Article Giulio Ascoli, in: Guido Walz, Lexikon der Mathematik, Spektrum Akad. Verlag
  2. Ascoli, Le curve limiti di una varietà data di curve, Mem. Accad. Lincei, Volume 18, 1883, pp. 521-586
  3. ^ John J. O'Connor, Edmund F. RobertsonGiulio Ascoli (mathematician). In: MacTutor History of Mathematics archive .