Stefan Banach
| Stefan Banach | |
|---|---|
 |
|
| Born |
March 30, 1892 Kraków, Grand Duchy of Kraków, Austria-Hungary (today Poland) |
| Died | August 31, 1945 (aged 53) Lviv, Ukrainian SSR, Soviet Union (today Ukraine) |
| Nationality | Polish |
| Fields | Mathematics |
| Institutions | University of Lwów |
| Alma mater | Technical University of Lwów |
| Doctoral advisor | Hugo Steinhaus |
| Doctoral students | Stanisław Mazur |
| Other notable students | Stanislaw Ulam |
| Known for |
Banach–Tarski paradox Banach–Steinhaus theorem Functional analysis |
| Notable awards | Memberships: Academy of Sciences of the Ukrainian SSR, Polish Academy of Learning |
Stefan Banach ([ˈstɛfan ˈbanax]; 30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the world's most important and influential 20th-century mathematicians. He was one of the founders of modern functional analysis, and an original member of the Lwów School of Mathematics. His major work was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of functional analysis.
Born in Kraków, Banach attended IV Gymnasium, a secondary school, and worked on mathematics problems with his friend Witold Wilkosz. After graduating in 1910, Banach moved to Lwów. However, during World War I Banach returned to Kraków, where he befriended Hugo Steinhaus. After Banach solved some mathematics problems which Steinhaus considered difficult, they published their first joint work. In 1919, with several other mathematicians, Banach formed a mathematical society. In 1920 he received an assistantship at the Lwów Polytechnic.
He soon became a professor at the Lwów Polytechnic, and a member of the Polish Academy of Learning. He organized the "Lwów School of Mathematics". Around 1929 he began writing his Théorie des opérations linéaires.
After the outbreak of World War II, in September 1939, Lwów was taken over by the Soviet Union. Banach became a member of the Academy of Sciences of Ukraine and was dean of Lwów University's Department of Mathematics and Physics.
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