• 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 (2,699 words) - 18:24, 23 February 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 (2,520 words) - 22:25, 16 April 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...
    103 KB (17,214 words) - 08:06, 6 March 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...
    47 KB (6,697 words) - 17:38, 18 April 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 (2,492 words) - 14:36, 6 April 2024
  • 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 (1,275 words) - 21:14, 28 March 2024
  • 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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  • In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A {\displaystyle A} over the real...
    17 KB (2,602 words) - 06:37, 23 September 2023
  • 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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  • open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental...
    13 KB (1,870 words) - 13:27, 27 December 2023
  • Stefan Banach (1892–1945), Polish mathematician Ed Banach (born 1960), American wrestler Lou Banach (born 1960), American wrestler Korneliusz Banach (born...
    3 KB (285 words) - 03:59, 9 July 2023
  • 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 (4,519 words) - 02:20, 19 February 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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  • 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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  • German novelist Stefan Banach (1892–1945), Polish mathematician Stefan Baretzki (1919–1988), Romanian-German concentration camp guard Stefan Bellof (1957–1985)...
    10 KB (1,168 words) - 05:56, 28 April 2024
  • 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) - 19:21, 19 April 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...
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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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  • Banach–Stone theorem is a classical result in the theory of continuous functions on topological spaces, named after the mathematicians Stefan Banach and...
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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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  • Thumbnail for John von Neumann
    and Stefan Banach 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...
    204 KB (23,289 words) - 22:55, 20 April 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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  • the objects overlap. It was proposed by Hugo Steinhaus and proved by Stefan Banach (explicitly in dimension 3, without taking the trouble to state the...
    19 KB (2,453 words) - 04:40, 14 January 2024
  • many of the city's Polish intellectuals, including the mathematician Stefan Banach and the poet Zbigniew Herbert. While the profession carried a significant...
    22 KB (2,683 words) - 18:50, 27 October 2023
  • 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 (4,213 words) - 16:45, 26 November 2023
  • Thumbnail for Differentiable function
    derivatives at all points or at almost every point. However, a result of Stefan Banach states that the set of functions that have a derivative at some point...
    12 KB (1,674 words) - 12:21, 9 November 2023
  • 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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  • 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
  • important fellowships to pathbreakers in modern mathematics, such as Stefan Banach, Bartel Leendert van der Waerden, and André Weil, which was a formative...
    88 KB (9,751 words) - 21:33, 26 April 2024