Stefan Banach

Polish mathematician (1892–1945)
Person human Q180217
Stefan Banach
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Stefan Banach

Summary

Stefan Banach is a human[1]. Born in Kraków[2], he… he was born on +1892-03-30T00:00:00Z[3]. He passed away in Lviv[4]. He died on +1945-08-31T00:00:00Z[5]. He worked as a mathematician[6] and university teacher[7]. He ranks in the top 0.71% of human entities by monthly Wikipedia readership (283 views/month, #7,056 of 1,000,298).[8]

Key Facts

  • Born in Kraków[2], Stefan Banach…
  • Stefan Banach passed away in Lviv[4].
  • Stefan Banach was born on +1892-03-30T00:00:00Z[3].
  • Stefan Banach died on +1945-08-31T00:00:00Z[5].
  • Burial took place at Lychakiv Cemetery[9].
  • Among Stefan Banach's spouses was Łucja Braus[10].
  • Stefan Banach held citizenship in Cisleithania[11].
  • Stefan Banach held citizenship in Second Polish Republic[12].
  • Stefan Banach held citizenship in Ukrainian Soviet Socialist Republic[13].
  • Stefan Banach held citizenship in Reichskommissariat Ukraine[14].
  • Stefan Banach held citizenship in Ukrainian Soviet Socialist Republic[15].
  • Polish was Stefan Banach's native language[16].
  • Stefan Banach's professions included mathematician[6].
  • Stefan Banach worked as a university teacher[7].
  • Stefan Banach's field of work was mathematics[17].
  • Stefan Banach's field of work was functional analysis[18].
  • Stefan Banach's field of work was topology[19].
  • Stefan Banach's field of work was Banach space[20].
  • Stefan Banach's field of work was measure theory[21].
  • Stefan Banach's field of work was integral[22].
  • Stefan Banach was employed by Lviv University[23].
  • Stefan Banach was employed by Lviv Polytechnic[24].
  • Stefan Banach was educated at IV Liceum i Gimnazjum im. Henryka Sienkiewicza w Krakowie[25].
  • Stefan Banach was educated at Lviv Polytechnic[26].
  • Stefan Banach was educated at Jagiellonian University[27].

Body

Origins and Family

Stefan Banach's place of birth was Kraków[2]. He was born on +1892-03-30T00:00:00Z[3]. Polish was his native language[16].

Education

Educated at IV Liceum i Gimnazjum im. Henryka Sienkiewicza w Krakowie[25], a lyceum[28], in Poland[29], founded in 1901[30]; Lviv Polytechnic[26], a university[31], in Ukraine[32], founded in 1844[33]; Jagiellonian University[27], a public university[34], in Poland[35], founded in 1364[36], headquartered in Kraków[37]; Lviv University[38], a public university[39], in Ukraine[40], founded in 1661[41], headquartered in Main building of Lviv University[42]; and Bartłomiej Nowodworski High School[43], a secondary school[44], in Poland[45], founded in 1586[46]. Doctoral advisors include Hugo Steinhaus[47], a mathematician[48], 1887–1972[49], of Cisleithania[50], awarded the Commander with Star of the Order of Polonia Restituta[51], specialised in probability theory[52] and Kazimierz Twardowski[53], a philosopher[54], 1866–1938[55], of Austria–Hungary[56], awarded the Cross of Valour[57], specialised in philosophy[58]. Stefan Banach earned the academic degree of Doctor of Philosophy[59].

Career and Affiliations

Recorded occupations include mathematician[6] and university teacher[7]. Fields of work include mathematics[17], an academic discipline[60]; functional analysis[18], a branch of mathematics[61]; topology[19], a branch of mathematics[62]; Banach space[20], a mathematical concept[63], founded in 1920[64]; measure theory[21], a branch of mathematics[65]; and integral[22], a mathematical concept[66]. Employers include Lviv University[23], a public university[67], in Ukraine[68], founded in 1661[69], headquartered in Main building of Lviv University[70] and Lviv Polytechnic[24], a university[71], in Ukraine[72], founded in 1844[73]. Stefan Banach supervised Stanisław Mazur as a doctoral student[74].

Works and Contributions

Notable works include Banach space[75], Banach algebra[76], Banach–Tarski paradox[77], Banach manifold[78], uniform boundedness principle[79], and Hahn–Banach theorem[80]. Things named for Stefan Banach include Banach–Tarski paradox[81], a theorem[82]; Banach fixed-point theorem[83], a fixed-point theorem[84]; Banach space[85], a mathematical concept[86], founded in 1920[87]; uniform boundedness principle[88]; Banach–Alaoglu theorem[89]; Banach's matchbox problem[90]; Banach algebra[91]; and Hahn–Banach theorem[92].

Recognition

Stefan Banach received the Order of the White Eagle[93].

Personal Life

Stefan Banach was married to Łucja Braus[10].

Death and Burial

Stefan Banach died on +1945-08-31T00:00:00Z[5]. He passed away in Lviv[4]. The cause of death was lung cancer[94]. He is buried at Lychakiv Cemetery[9].

Why It Matters

Stefan Banach ranks in the top 0.71% of human entities by monthly Wikipedia readership (283 views/month, #7,056 of 1,000,298).[8] He has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[95] He is known by 22 alternative names across languages and contexts.[96]

He is credited with the discovery of Banach fixed-point theorem[97], a fixed-point theorem[98]. Entities named for him include Banach–Tarski paradox[81], a theorem[82]; Banach fixed-point theorem[83], a fixed-point theorem[84]; Banach space[85], a mathematical concept[86], founded in 1920[87]; uniform boundedness principle[88]; Banach–Alaoglu theorem[89]; and Banach's matchbox problem[90].

His notable doctoral advisees include Stanisław Mazur[99], a mathematician[100], 1905–1981[101], of Poland[102], awarded the Officer of the Order of Polonia Restituta[103], specialised in functional analysis[104].

FAQs

Where was Stefan Banach born?

Stefan Banach's place of birth was Kraków[2].

Where did Stefan Banach die?

Stefan Banach died in Lviv[4].

Who was Stefan Banach married to?

Stefan Banach's spouses include Łucja Braus[10].

What did Stefan Banach do for work?

Stefan Banach worked as mathematician[6] and university teacher[7].

Where did Stefan Banach go to school?

Stefan Banach was educated at IV Liceum i Gimnazjum im. Henryka Sienkiewicza w Krakowie[25], Lviv Polytechnic[26], Jagiellonian University[27], and Lviv University[38].

What awards did Stefan Banach receive?

Honors received include Order of the White Eagle[93].

What did Stefan Banach discover?

Stefan Banach is credited as discoverer of Banach fixed-point theorem[97].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . Integrated Authority File. Retrieved . wikidata.org.
  2. [4] . Integrated Authority File. Retrieved . wikidata.org.
  3. [10] . MacTutor History of Mathematics archive. wikidata.org.
  4. [11] . wikidata.org.
  5. [12] . wikidata.org.
  6. [13] . wikidata.org.
  7. [14] . wikidata.org.
  8. [15] . wikidata.org.
  9. [25] . Retrieved . wikidata.org.
  10. [26] . MacTutor History of Mathematics archive. wikidata.org.
  11. [27] . MacTutor History of Mathematics archive. Retrieved . wikidata.org.
  12. [38] . Mathematics Genealogy Project. wikidata.org.
  13. [43] . wikidata.org.
  14. [17] . wikidata.org.
  15. [18] . wikidata.org.
  16. [19] . Czech National Authority Database. Retrieved . wikidata.org.
  17. [20] . Czech National Authority Database. Retrieved . wikidata.org.
  18. [21] . Czech National Authority Database. Retrieved . wikidata.org.
  19. [22] . Czech National Authority Database. Retrieved . wikidata.org.
  20. [16] . wikidata.org.
  21. [6] . Integrated Authority File. Retrieved . wikidata.org.
  22. [7] . wikidata.org.
  23. [23] . MacTutor History of Mathematics archive. wikidata.org.
  24. [24] . MacTutor History of Mathematics archive. wikidata.org.
  25. [9] . Lychakiv Necropolis. wikidata.org.
  26. [93] . Retrieved . wikidata.org.
  27. [47] . wikidata.org.
  28. [53] . Mathematics Genealogy Project. Retrieved . genealogy.ams.org. Provenance: wikidata.org.
  29. [74] . Mathematics Genealogy Project. Retrieved . genealogy.ams.org. Provenance: wikidata.org.
  30. [94] . wikidata.org.
  31. [59] . wikidata.org.
  32. [3] . Integrated Authority File. Retrieved . wikidata.org.
  33. [5] . Integrated Authority File. Retrieved . books.google.cat. Provenance: wikidata.org.
  34. [75] . wikidata.org.
  35. [76] . wikidata.org.
  36. [77] . wikidata.org.
  37. [78] . wikidata.org.
  38. [79] . wikidata.org.
  39. [80] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [97] . wikidata.org. → on this site
  2. [99] . wikidata.org. → on this site
  3. [81] . wikidata.org. → on this site
  4. [83] . wikidata.org. → on this site
  5. [85] . wikidata.org. → on this site
  6. [88] . wikidata.org. → on this site
  7. [89] . wikidata.org. → on this site
  8. [90] . wikidata.org. → on this site
  9. [91] . wikidata.org. → on this site
  10. [92] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [28] . Wikidata. wikidata.org. → on this site
  2. [29] . Wikidata. wikidata.org. → on this site
  3. [30] . Wikidata. wikidata.org. → on this site
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  13. [41] . Wikidata. wikidata.org. → on this site
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  19. [61] . Wikidata. wikidata.org. → on this site
  20. [62] . Wikidata. wikidata.org. → on this site
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  24. [66] . Wikidata. wikidata.org. → on this site
  25. [67] . Wikidata. wikidata.org. → on this site
  26. [68] . Wikidata. wikidata.org. → on this site
  27. [69] . Wikidata. wikidata.org. → on this site
  28. [70] . Wikidata. wikidata.org. → on this site
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  34. [50] . Wikidata. wikidata.org. → on this site
  35. [51] . Wikidata. wikidata.org. → on this site
  36. [52] . Wikidata. wikidata.org. → on this site
  37. [54] . Wikidata. wikidata.org. → on this site
  38. [55] . Wikidata. wikidata.org. → on this site
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  40. [57] . Wikidata. wikidata.org. → on this site
  41. [58] . Wikidata. wikidata.org. → on this site
  42. [98] . Wikidata. wikidata.org. → on this site
  43. [100] . Wikidata. wikidata.org. → on this site
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  50. [86] . Wikidata. wikidata.org. → on this site
  51. [87] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [8] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [95] . Wikidata sitelinks. wikidata.org.
  3. [96] . Wikidata aliases. wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Stefan Banach. Retrieved April 11, 2026, from https://4ort.xyz/entity/stefan-banach
MLA “Stefan Banach.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/stefan-banach.
BibTeX @misc{4ortxyz_stefan-banach_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Stefan Banach}}, year = {2026}, url = {https://4ort.xyz/entity/stefan-banach}, note = {Accessed: 2026-04-11}}
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