Stanisław Mazur

2025-07-07T19:02:25Z

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{{short description|Polish mathematician (1905–1981)}}
{{Infobox scientist
|name = Stanisław Mazur
|image = Stanislaw Mazur Polish mathematician.jpg
|image_size = 150px
|alt =
|caption = Stanisław Mazur in 1966
|birth_date = {{birth date|1905|1|1|df=y}}
|birth_place = [[Lviv|Lwów]], [[Kingdom of Galicia and Lodomeria|Galicia and Lodomeria]], [[Austria-Hungary]] (now Lviv, [[Ukraine]])
|death_date = {{death date and age|1981|11|5|1905|1|1|df=y}}
|death_place = [[Warsaw]], [[People's Republic of Poland|Poland]]
|residence =
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|fields = [[Mathematics]]
|workplaces =
|alma_mater =
|doctoral_advisor = [[Stefan Banach]]
|academic_advisors =
|doctoral_students =
|notable_students =
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|influences =
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|awards = [[Polish Mathematical Society#Stefan Banach Prize|Stefan Banach Prize]] (1949)
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}}

'''Stanisław Mieczysław Mazur''' ({{IPA|pol|ˈmazur|lang}}; 1 January 1905 – 5 November 1981) was a Polish [[mathematician]] and a member of the [[Polish Academy of Sciences]].

Mazur made important contributions to geometrical methods in linear and [[nonlinear functional analysis]] and to the study of [[Banach algebra]]s. He was also interested in [[summability theory]], [[infinite game]]s and [[computable function]]s.

==Lwów and Warsaw==
[[Image:MazurGes.jpg|thumb|right|Mazur awards a live goose to [[Per Enflo]], who solved Mazur's 1936 problem in the [[Scottish cafe|Scottish book]]. The photograph comes from the book ''Pół wieku matematyki polskiej 1920-1970'' ("Half a Century of Polish Mathematics 1920-1970").]]

Mazur was a student of [[Stefan Banach]] at [[University of Lwów]]. His doctorate, under Banach's supervision, was awarded in 1935.<ref>{{MathGenealogy|id=13056}}</ref> Mazur, with [[Juliusz Schauder]], was an Invited Speaker of the [[International Congress of Mathematicians|ICM]] in 1936 in [[Oslo]].<ref>{{cite book|author=Mazur, S.|author2=Schauder, J.|chapter=Über ein Prinzip in der Variationsrechnung|title=Comptes rendus du Congrès international des mathématiciens: Oslo, 1936|volume=2|page=65|year=1937}}</ref>

Mazur was a close collaborator with Banach at Lwów and was a member of the [[Lwów School of Mathematics]], where he participated in the mathematical activities at the [[Scottish Café]]. On 6 November 1936, he posed the "[[Approximation problem|basis problem]]" of determining whether every [[Banach space]] has a [[Schauder basis]], with Mazur promising a "live goose" as a reward: 37 years later and in a ceremony that was broadcast throughout Poland, Mazur awarded a live goose to [[Per Enflo]] for constructing a counter-example.

From 1948 Mazur worked at the [[University of Warsaw]]. He also worked at the [[Institute of Mathematics of the Polish Academy of Sciences|State Institute of Mathematics]], which was incorporated into the [[Polish Academy of Sciences]] in 1952.<ref>{{Cite web |url=https://www.impan.pl/en/insitute/about-us/history |title=History |website=impan.pl |access-date=7 December 2024}}</ref>

==See also==
*[[Approximation problem]]
*[[Approximation property]]
*[[Banach–Mazur theorem]]
*[[Banach–Mazur game]]
*[[Compact operator]]
*[[Gelfand–Mazur theorem]]
*[[Mazur–Ulam theorem]]
*[[Schauder basis]]

==References==
<references />

== External links ==

*{{MacTutor Biography|id=Mazur}}
*{{MathGenealogy|id=13056}}

{{Authority control}}

{{DEFAULTSORT:Mazur, Stanislaw}}
[[Category:1905 births]]
[[Category:1981 deaths]]
[[Category:Scientists from Lviv]]
[[Category:People from the Kingdom of Galicia and Lodomeria]]
[[Category:Polish Workers' Party politicians]]
[[Category:Members of the Central Committee of the Polish United Workers' Party]]
[[Category:Members of the Polish Sejm 1947–1952]]
[[Category:Members of the Polish Sejm 1952–1956]]
[[Category:Functional analysts]]
[[Category:Measure theorists]]
[[Category:Lwów School of Mathematics]]
[[Category:Academic staff of the University of Lviv]]
[[Category:Members of the Polish Academy of Sciences]]
[[Category:Recipients of the Order of the Banner of Work]]
[[Category:Officers of the Order of Polonia Restituta]]
[[Category:Academic staff of the University of Warsaw]]
[[Category:Recipients of the State Award Badge (Poland)]]

{{Poland-mathematician-stub}}

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Stanisław Mazur