• Thumbnail for Stefan Banach
    Stefan Banach (Polish: [ˈstɛfan ˈbanax] ; 30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the 20th century's...
    26 KB (2,707 words) - 09:07, 16 December 2024
  • The Banach–Tarski paradox is a theorem in set-theoretic geometry, which states the following: Given a solid ball in three-dimensional space, there exists...
    48 KB (6,849 words) - 21:49, 1 December 2024
  • Picard's method of successive approximations. The theorem is named after Stefan Banach (1892–1945) who first stated it in 1922. Definition. Let ( X , d ) {\displaystyle...
    16 KB (2,668 words) - 07:21, 16 September 2024
  • Thumbnail for Functional analysis
    Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The theorem was first published in 1927 by Stefan Banach and...
    20 KB (2,496 words) - 22:48, 26 September 2024
  • well-defined limit that is within the space. Banach spaces are named after the Polish mathematician Stefan Banach, who introduced this concept and studied...
    104 KB (17,224 words) - 06:29, 3 October 2024
  • Stefan Banach (1892–1945), Polish mathematician Ed Banach (born 1960), American wrestler Lou Banach (born 1960), American wrestler Korneliusz Banach (born...
    4 KB (406 words) - 20:50, 17 October 2024
  • In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A {\displaystyle A} over the real...
    17 KB (2,618 words) - 03:51, 7 September 2024
  • finitely additive (and is therefore known as a "content"). Stefan Banach proved the existence of Banach measures in 1923. This established in particular that...
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  • Thumbnail for Polish Mathematical Society
    mathematicians, Stanisław Zaremba, Franciszek Leja, Alfred Rosenblatt, Stefan Banach and Otto Nikodym were among them. Ever since its foundation, the society's...
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  • notion of a sublinear function was introduced by Stefan Banach when he proved his version of the Hahn-Banach theorem. There is also a different notion in...
    22 KB (4,193 words) - 00:01, 17 September 2024
  • Thumbnail for Hugo Steinhaus
    "discovering" mathematician Stefan Banach, with whom he gave a notable contribution to functional analysis through the Banach–Steinhaus theorem. After World...
    25 KB (2,433 words) - 18:39, 21 November 2024
  • Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The theorem was first published in 1927 by Stefan Banach and...
    24 KB (4,600 words) - 18:46, 3 October 2024
  • open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental...
    22 KB (3,977 words) - 04:53, 23 December 2024
  • Thumbnail for Stanisław Mazur
    study of Banach algebras. He was also interested in summability theory, infinite games and computable functions. Mazur was a student of Stefan Banach at University...
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  • Thumbnail for Scottish Book
    book was most likely originally suggested by Stefan Banach's wife, Łucja Banach. Stefan or Łucja Banach purchased a large notebook and left it with the...
    12 KB (1,254 words) - 05:09, 21 November 2024
  • Thumbnail for Antoni Łomnicki
    many other mathematicians including Stefan Banach, Kazimierz Kuratowski, Stanisław Stożek, Antoni Nikliborc, Stefan Kaczmarz, Władysław Orlicz, and Stanisław...
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  • Kazimierz University of Lwów from 1919 to 1939, where he collaborated with Stefan Banach. The circumstances of Kaczmarz's death are unclear. In early September...
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  • Banach's match problem is a classic problem in probability attributed to Stefan Banach. Feller says that the problem was inspired by a humorous reference...
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  • geometry. The theorem is named for the mathematicians Hans Hahn and Stefan Banach, who proved it independently in the late 1920s. The special case of...
    77 KB (12,643 words) - 16:44, 2 January 2025
  • Banach–Stone theorem is a classical result in the theory of continuous functions on topological spaces, named after the mathematicians Stefan Banach and...
    4 KB (582 words) - 03:56, 30 November 2024
  • the objects overlap. It was proposed by Hugo Steinhaus and proved by Stefan Banach (explicitly in dimension 3, without stating the theorem in the n-dimensional...
    19 KB (2,450 words) - 09:17, 18 December 2024
  • Thumbnail for Władysław Orlicz
    into the Polish Academy of Sciences in 1952. Orlicz was awarded the Stefan Banach Prize by the Polish Mathematical Society in 1948. Orlicz space Orlicz–Pettis...
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  • Thumbnail for Scottish Café
    after becoming annoyed with their writing directly on the table tops, Stefan Banach's wife provided the mathematicians with a large notebook, which was used...
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  • gave a counter-example, building on work by Alexander Grothendieck and Stefan Banach. The origin of the theory of compact operators is in the theory of integral...
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  • Banach algebra Amenable Banach algebra Banach Jordan algebra Banach function algebra Banach *-algebra Banach algebra cohomology Banach bundle Banach bundle...
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  • space of continuous paths. It is named after Stefan Banach and Stanisław Mazur. Every real, separable Banach space (X, ||⋅||) is isometrically isomorphic...
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  • German novelist Stefan Arndt (born 1961), German film producer and manager Stefan Banach (1892–1945), Polish mathematician Stefan Baretzki (1919–1988)...
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  • Thumbnail for Lwów School of Mathematics
    analysis. Notable members of the Lwów school of mathematics included: Stefan Banach Feliks Barański Władysław Orlicz Stanisław Saks Hugo Steinhaus Stanisław...
    5 KB (449 words) - 23:52, 26 October 2024
  • Bernstein's theorem Fixed-point theorems in infinite-dimensional spaces Stefan Banach (1892–1945) Hugo Steinhaus (1887–1972) John von Neumann (1903-1957)...
    5 KB (475 words) - 23:38, 19 July 2023
  • Thumbnail for Włodzimierz Stożek
    in Lviv, during the Massacre of Lviv professors. In December 1944, Stefan Banach wrote the following tribute to Stożek: Professor Włodzimierz Stożek...
    3 KB (246 words) - 01:29, 23 June 2024