Stefan Banach
Stefan Banach | |
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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
Some of the notable
Life
Early life
Stefan Banach was born on 30 March 1892 at St. Lazarus General Hospital in
Unusually, Stefan's surname was his mother's instead of his father's, though he received his father's given name, Stefan. Military regulations did not permit soldiers of Stefan Greczek's rank to marry; he was a private and as the mother was too poor to support the child, the couple decided that he should be reared by family and friends.[9] Stefan spent the first few years of his life with his grandmother, but when she was taken ill, Greczek arranged for his son to be raised by Franciszka Płowa and her niece Maria Puchalska in Kraków. Young Stefan came to regard Franciszka as his foster mother and Maria as his older sister.[10] In his early years Banach was tutored by Juliusz Mien, a French intellectual and friend of the Płowa family, who had emigrated to Poland and supported himself with photography and translations of Polish literature into French. Mien taught Banach French and most likely encouraged him in his early mathematical pursuits.[11]
In 1902, Banach, aged 10, enrolled in Kraków's IV Gymnasium (also known as the
After obtaining his
When
Discovery by Steinhaus
In 1916, in Kraków's
Interbellum
Steinhaus introduced Banach to academic circles and substantially accelerated his career. After
Young and talented, Banach gathered around him a large group of mathematicians. The group, meeting in the
World War II
After the
After the Soviet
Contributions
Banach's dissertation, completed in 1920 and published in 1922, formally axiomatized the concept of a complete normed vector space and laid the foundations for the area of functional analysis. In this work Banach called such spaces "class E-spaces", but in his 1932 book, Théorie des opérations linéaires, he changed terminology and referred to them as "spaces of type B", which most likely contributed to the subsequent eponymous naming of these spaces after him.[28] The theory of what came to be known as Banach spaces had antecedents in the work of the Hungarian mathematician Frigyes Riesz (published in 1916) and contemporaneous contributions from Hans Hahn and Norbert Wiener.[21] For a brief period in fact, complete normed linear spaces were referred to as "Banach–Wiener" spaces in mathematical literature, based on terminology introduced by Wiener himself. However, because Wiener's work on the topic was limited, the established name became just Banach spaces.[28]
Likewise,
The Hahn–Banach theorem is one of the fundamental theorems of functional analysis.[21] Further theorems related to Banach are:
Recognition
In 1946, the
Stefan Banach is the patron of a number of schools and streets including in Warsaw, Lviv, Świdnica, Toruń and Jarosław.
In 2001, a minor planet
In 2012, the
In 2016, a commemorative bench featuring Banach and
In 2021, one of the episodes of Polish documentary TV series Geniusze i marzyciele (Geniuses and Dreamers) aired on TVP1 and TVP Dokument channels was devoted to Stefan Banach.[34]
In 2022, Google Doodle commemorated the 100th anniversary of Banach receiving his title of professor.[35]
Quotes
"Good mathematicians see analogies between theorems or theories, the very best ones see analogies between analogies."[36]
Hugo Steinhaus said of Banach:
"Banach was my greatest scientific discovery."[37]
See also
- Closed range theorem
- International Stefan Banach Prize
- List of Poles
- List of Polish mathematicians
- List of things named after Stefan Banach
- Timeline of Polish science and technology
References
Citations
- ^ a b "Stefan Banach - Polish Mathematician". britannica.com. 27 August 2023.
- ^ Pitici 2019, p. 23.
- ^ Chemla, Chorla & Rabouin 2016, pp. 224, 225, 237.
- ^ "Home Page of Stefan Banach". kielich.amu.edu.pl. Retrieved 19 August 2017.
- ^ a b c d O'Connor, John J.; Robertson, Edmund F., "Stefan Banach", MacTutor History of Mathematics Archive, University of St Andrews
- ^ Stachura 1999, p. 51.
- ^ Waksmundzka-Hajnos 2006, p. 16.
- ^ a b Duda 2009, p. 29.
- ^ Kałuża 1996, pp. 2–4
- ^ Kałuża 1996, pp. 1–3
- ^ Kałuża 1996, p. 3
- ^ Kałuża 1996, p. 137
- ^ Jakimowicz & Miranowicz 2007, p. 4
- ^ Kałuża 1996, pp. 3–4
- ^ Jakimowicz & Miranowicz 2007, p.5
- ^ Kałuża 1996, p. 13
- ^ Kałuża 1996, p. 16
- ^ Jakimowicz & Miranowicz 2007, p. 6
- ^ Ciesielska & Maligranda 2019, pp. 57–108.
- ^ Kałuża 1996, p. 23
- ^ a b c d Jahnke 2003, p. 402
- ^ Stefan Banach (1922). "Sur les opérations dans les ensembles abstraits et leur application aux équations integrals (On operations in the abstract sets and their application to integral equations)". Fundamenta Mathematicae (in French and Polish). 3.
- ^ "Математичний міст між Краковом і Львовом: як Стефан Банах став одним із найвеличніших математиків століття - krakow1.one". 16 November 2022.
- ^ Stefan Banach: Teoria operacji liniowych.
- ^ Stefan Banach: Théorie des opérations linéaires (in French; Theory of Linear Operations).
- ^ Urbanek 2002
- ^ a b James 2003, p. 384
- ^ a b MacCluer 2008, p. 6
- ^ Institute of Mathematics: Stefan Banach Medal Polish Academy of Sciences
- ^ "PIERWSZY LAUREAT "THE INTERNATIONAL BANACH PRIZE"" (in Polish). Archived from the original on 17 June 2015. Retrieved 11 August 2022.
- ISBN 978-83-244-0381-3.
- ^ "Narodowy Bank Polski. Monety" (PDF) (in Polish). Retrieved 11 August 2022.
- ^ "Setna rocznica najsłynniejszej matematycznej dyskusji na krakowskich Plantach" (in Polish). Archived from the original on 19 October 2016. Retrieved 11 August 2022.
- ^ ""Geniusze i marzyciele" – nowy serial dokumentalny w TVP1" (in Polish). Retrieved 11 August 2022.
- ^ "Stefan Banach: Google Doodle celebrates Polish mathematician". 22 July 2022. Retrieved 11 August 2022.
- ISBN 9780684143910.
- ^ Strick, Heinz Klaus (3 November 2016). "Stefan Banach (March 30, 1892 – August 8, 1945) – Mathematics in Europe". Mathematics in Europe. Translated by Kramer, David. European Mathematical Society. Retrieved 19 January 2024.
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Sources
- Chemla, Karine; Chorla, Renaud; Rabouin, David (2016). The Oxford Handbook of Generality in Mathematics and the Sciences. Oxford: University Press. ISBN 9780198777267.
- Ciesielska, Danuta; Maligranda, Lech (2019). "Alfred Rosenblatt (1880–1947). Polish–Peruvian mathematician". Banach Center Publications. 119. Institute of Mathematics, Polish Academy of Sciences: 57–108. S2CID 213021027.
- Duda, Roman (2009). "Facts and Myths about Stefan Banach" (PDF). Newsletter of the European Mathematical Society (71). EMS: 29.
- Jahnke, Hans Niels (2003). A History of Analysis. American Mathematical Society. ISBN 0821826239.
- Jakimowicz, E.; Miranowicz, A., eds. (2007). Stefan Banach - Remarkable life, Brilliant mathematics. Gdańsk University Press and Adam Mickiewicz University Press. ISBN 978-83-7326-451-9.
- ISBN 0521520940.
- Kałuża, Roman (1996). Through a Reporter's Eyes: The Life of Stefan Banach. Translated by Wojbor Andrzej Woyczyński and Ann Kostant. Birkhäuser. ISBN 0-8176-3772-9.
- Kosiedowski, Stanisław. "Stefan Banach". Mój Lwów. Retrieved 20 May 2008.
- Siegmund-Schultze, Reinhard (2003). Jahnke, Hans Niels (ed.). A History of Analysis. American Mathematical Society. ISBN 0-8218-2623-9.
- MacCluer, Barbara (2008). Elementary Functional Analysis. Springer. ISBN 978-0387855288.
- Urbanek, Mariusz (April 2002). "Geniusz: gen i już". Polityka. 8 (2348).
- Pitici, Mircea (2019). The Best Writing on Mathematics 2019. Princeton: University Press. ISBN 978-0691198354.
- Stachura, Peter (1999). Poland in the Twentieth Century. Springer.
- Waksmundzka-Hajnos, Monika (2006). "Wspomnienie o Stefanie Greczku". Focus (11). Gdańsk University.
Further reading
- Banach, Stefan (1932). Théorie des Opérations Linéaires [Theory of Linear Operations] (PDF). Monografie Matematyczne (in French). Vol. 1. Warszawa: Subwencji Funduszu Kultury Narodowej. Zbl 0005.20901. Archived from the original(PDF) on 11 January 2014. Retrieved 11 July 2020.