• 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) - 11:45, 12 February 2025
  • 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...
    17 KB (2,745 words) - 19:58, 29 January 2025
  • 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...
    49 KB (6,911 words) - 15:30, 6 March 2025
  • 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) - 11:20, 23 February 2025
  • well-defined limit that is within the space. Banach spaces are named after the Polish mathematician Stefan Banach, who introduced this concept and studied...
    102 KB (17,005 words) - 15:38, 13 February 2025
  • 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) - 05:14, 28 February 2025
  • 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) - 09:54, 19 February 2025
  • 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
  • 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 (3,936 words) - 07:58, 22 February 2025
  • 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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  • 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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  • 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
  • Stefan Banach (1892–1945), Polish mathematician Ed Banach (born 1960), American wrestler Lou Banach (born 1960), American wrestler Korneliusz Banach (born...
    4 KB (408 words) - 07:11, 19 February 2025
  • 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 (12,640 words) - 10:59, 10 February 2025
  • Banach algebra Amenable Banach algebra Banach Jordan algebra Banach function algebra Banach *-algebra Banach algebra cohomology Banach bundle Banach bundle...
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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...
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  • 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 (2,711 words) - 09:20, 24 January 2025
  • 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–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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  • German novelist Stefan Arndt (born 1961), German film producer and manager Stefan Banach (1892–1945), Polish mathematician Stefan Baretzki (1919–1988)...
    10 KB (1,189 words) - 21:32, 22 February 2025
  • 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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  • 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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  • Thumbnail for Maksym Radziwill
    Breakthrough Prize in Mathematics. In the same year he was awarded the Stefan Banach Prize (2018) of the Polish Mathematical Society. For 2023 he received...
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  • 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) - 02:13, 21 November 2024
  • important fellowships to pathbreakers in modern mathematics, such as Stefan Banach, Bartel Leendert van der Waerden, and André Weil, which was a formative...
    89 KB (9,885 words) - 12:03, 3 March 2025
  • In mathematics, the Banach game is a topological game introduced by Stefan Banach in 1935 in the second addendum to problem 43 of the Scottish book as...
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  • numbers. Some consequences of AD followed from theorems proved earlier by Stefan Banach and Stanisław Mazur, and Morton Davis. Mycielski and Stanisław Świerczkowski...
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  • lines: ‖ z ‖ = p ( z ) {\displaystyle \|z\|=p(z)} , as proposed by Stefan Banach in his doctoral thesis from 1920. Such notation is also sometimes used...
    36 KB (5,938 words) - 19:11, 20 February 2025
  • Thumbnail for History of mathematics
    [citation needed] a branch of mathematics that was greatly developed by Stefan Banach and his collaborators who formed the Lwów School of Mathematics. Other...
    139 KB (16,151 words) - 06:15, 1 March 2025
  • joined the Texas A&M faculty in 1984. In 2007, Johnson was awarded the Stefan Banach Medal of the Polish Academy of Sciences. In 2012 he became a fellow...
    3 KB (256 words) - 14:29, 28 January 2022