Renato Caccioppoli

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Renato Caccioppoli (born January 20, 1904 in Naples , † May 8, 1959 Naples) was an Italian mathematician who dealt with analysis.

Life

Caccioppoli - son of a surgeon and nephew of Mikhail Bakunin on his mother's side - studied from 1921 at the University of Naples , where he initially wanted to become an engineer, but then switched to mathematics. In 1925 he graduated from Ernesto Pascal (Laurea) and then became Mauro Picone's assistant . In 1931 he became professor for algebraic analysis in Padua after winning a competition for the chair . In 1934 he returned to Naples as a professor.

When Adolf Hitler visited Naples in 1938, accompanied by Mussolini , Renato Caccioppoli caused a scandal: he got the orchestra to play the Marseillaise in a restaurant and then gave anti-fascist speeches. He only escaped arrest by allowing himself to be declared insane (which his aunt Maria Bakunin, professor of chemistry in Naples) took care of and was temporarily admitted to an institution. During this time he continued to work mathematically, but published as a precaution in the journal of the Pontifical Academy.

After the end of the Second World War , Caccioppoli joined the Communist Party and rebuilt the Mathematical Institute of the University of Naples with Carlo Miranda . He was considered a nonconformist and fell into alcohol in the last years of his life.

After his partner Sara Mancusa left him, Renato Caccioppoli took her own life on May 8, 1959 by shooting. Decreased mathematical creativity and political disappointment were suspected as further motives. In 1992 a film was made about Caccioppoli and his death ( Morte di un matematico napoletano , directed by Mario Martone).

Act

Caccioppoli dealt with functional analysis , where from 1930 he applied topological methods such as Brouwer's Fixed Point Theorem and in 1932 gave criteria for the reversibility of the mapping of two Banach spaces , with geometric measure theory (where Caccioppoli sets introduced by him in 1952 are named after him), elliptic partial differential equations and Function theory . In 1952/53 he introduced pseudo-analytical functions in function theory and from the 1930s onwards he dealt with functions of several complex variables, for which he proved a logarithmic residual theorem in 1949 and examined normal families of functions in several variables in 1933 .

He was a member of the Accademia dei Lincei (1947 corresponding and 1958 full member) and since 1931 corresponding and since 1938 full member of the Academy of Physical and Mathematical Sciences in Naples. In 1944 he became a member of the Pontifical Academy of Sciences .

From 1947 to 1957 he edited the Giornale di Matematiche with Carlo Miranda . He was co-editor of Annali di Matematica (from 1948) and Ricerche di Matematica (from 1952). In 1953 he was awarded the Accademia dei Lincei Prize for Mathematics and Science.

The Mathematics Faculty of the University of Naples, an asteroid (9934 Caccioppoli) and a prize from the Unione Matematica Italiana are named after him ( Premio Caccioppoli ).

Caccioppoli was a good pianist.

literature

  • Luciano De Crescenzo : Renato Caccioppoli. In: Luciano De Crescenzo: History of Greek Philosophy. From Socrates to Plotinus. Translated from the Italian by Linde Birk. Diogenes, Zurich 1990, ISBN 3-257-21913-X , pp. 231-237

Web links

Individual evidence

  1. ↑ Luciano De Crescenzo: Renato Caccioppoli. In: Luciano De Crescenzo: History of Greek Philosophy. From Socrates to Plotinus. Translated from the Italian by Linde Birk. Diogenes, Zurich 1990, ISBN 3-257-21913-X , p. 234ff.
  2. ↑ Misura e integrazione degli insiemi dimensionalmente orientati , Rendiconti dell'Accademia Nazionale dei Lincei, Volume 12
personal data
SURNAME Caccioppoli, Renato
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH January 20, 1904
PLACE OF BIRTH Naples
DATE OF DEATH May 8, 1959
Place of death Naples