Stefan Banach

Stefan Banach
Born(1892-03-30)30 March 1892
Kraków, Austria-Hungary
(today Poland)
Died31 August 1945(1945-08-31) (aged 53)
Lviv, Ukrainian SSR, Soviet Union (today Ukraine)
Alma materTechnical University of Lwów
Known forBanach space
Functional analysis
Banach algebra
Banach measure
Banach–Tarski paradox
Banach fixed-point theorem
Banach–Steinhaus theorem
Banach–Mazur theorem
Banach–Schauder theorem
Hahn–Banach theorem
Banach–Alaoglu theorem
Banach–Stone theorem
Banach manifold
Banach bundle
Surjection of Fréchet spaces
AwardsMembership: Polish Academy of Learning
Scientific career
FieldsMathematics
InstitutionsUniversity of Lwów
Doctoral advisorsHugo Steinhaus
Kazimierz Twardowski
Doctoral studentsStanisław Mazur
Other notable studentsJózef Schreier
Stanislaw Ulam

Stefan Banach (Polish: [ˈstɛfan ˈbanax] ; 30 March 1892 – 31 August 1945) was a Polish mathematician[1] who is generally considered one of the 20th century's most important and influential mathematicians.[2] He was the founder of modern functional analysis,[1] 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.[3]

Born in Kraków to a family of Goral descent, Banach showed a keen interest in mathematics and engaged in solving mathematical problems during school recess. After completing his secondary education, he befriended Hugo Steinhaus, with whom he established the Polish Mathematical Society in 1919 and later published the scientific journal Studia Mathematica. In 1920, he received an assistantship at the Lwów Polytechnic, subsequently becoming a professor in 1922 and a member of the Polish Academy of Learning in 1924. Banach was also a co-founder of the Lwów School of Mathematics, a school of thought comprising some of the most renowned Polish mathematicians of the interwar period (1918–1939).

Some of the notable mathematical concepts that bear Banach's name include Banach spaces, Banach algebras, Banach measures, the Banach–Tarski paradox, the Hahn–Banach theorem, the Banach–Steinhaus theorem, the Banach–Mazur game, the Banach–Alaoglu theorem, and the Banach fixed-point theorem.

  1. ^ a b Cite error: The named reference EB was invoked but never defined (see the help page).
  2. ^ Pitici 2019, p. 23.
  3. ^ Chemla, Chorla & Rabouin 2016, pp. 224, 225, 237.