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.
^ abCite error: The named reference EB was invoked but never defined (see the help page).
^Pitici 2019, p. 23.
^Chemla, Chorla & Rabouin 2016, pp. 224, 225, 237.
StefanBanach (Polish: [ˈstɛfan ˈbanax] ; 30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the 20th century's...
well-defined limit that is within the space. Banach spaces are named after the Polish mathematician StefanBanach, who introduced this concept and studied...
Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The theorem was first published in 1927 by StefanBanach and...
book was most likely originally suggested by StefanBanach's wife, Łucja Banach. Stefan or Łucja Banach purchased a large notebook and left it with the...
In mathematics, especially functional analysis, a Banach algebra, named after StefanBanach, is an associative algebra A {\displaystyle A} over the real...
mathematicians, Stanisław Zaremba, Franciszek Leja, Alfred Rosenblatt, StefanBanach and Otto Nikodym were among them. Ever since its foundation, the society's...
StefanBanach (1892–1945), Polish mathematician Ed Banach (born 1960), American wrestler Lou Banach (born 1960), American wrestler Korneliusz Banach (born...
finitely additive (and is therefore known as a "content"). StefanBanach proved the existence of Banach measures in 1923. This established in particular that...
Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The theorem was first published in 1927 by StefanBanach and...
"discovering" mathematician StefanBanach, with whom he gave a notable contribution to functional analysis through the Banach–Steinhaus theorem. After World...
Kazimierz University of Lwów from 1919 to 1939, where he collaborated with StefanBanach. The circumstances of Kaczmarz's death are unclear. In early September...
the objects overlap. It was proposed by Hugo Steinhaus and proved by StefanBanach (explicitly in dimension 3, without taking the trouble to state the...
derivatives at all points or at almost every point. However, a result of StefanBanach states that the set of functions that have a derivative at some point...
and StefanBanach had implied that the problem of measure has a positive solution if n = 1 or n = 2 and a negative solution (because of the Banach–Tarski...
Bernstein's theorem Fixed-point theorems in infinite-dimensional spaces StefanBanach (1892–1945) Hugo Steinhaus (1887–1972) John von Neumann (1903-1957)...
theory of Banach spaces and continuous linear operators. The basis problem was posed by StefanBanach in his book, Theory of Linear Operators. Banach asked...
notion of a sublinear function was introduced by StefanBanach when he proved his version of the Hahn-Banach theorem. There is also a different notion in...
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