Stefan Banach was a Polish mathematician regarded as one of the founders of modern functional analysis, the branch of mathematics that studies vector spaces of functions and the operators that act on them. Banach introduced and systematically developed the concept of what is now called a Banach space, a vector space equipped with a notion of length, or norm, that is also complete, meaning that sequences of elements that get progressively closer together always converge to a limit that is itself within the space, a structure that turned out to underlie an enormous range of mathematical analysis. He proved a number of foundational theorems bearing his name, including the Banach fixed-point theorem, which guarantees that certain kinds of mathematical mappings have exactly one point left unchanged by the mapping and gives a method for finding it, a result with wide application well beyond pure mathematics. Banach was a leading figure of the Lwow School of Mathematics in interwar Poland, an informal but highly productive group of mathematicians who conducted much of their collaborative work in a cafe, the Scottish Cafe, recording open problems and results in a notebook that became known as the Scottish Book.
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Birth YearSourced to the subject's own account Birth DateSourced to the subject's own account Death DateSourced to the subject's own account Death YearSourced to the subject's own account FieldSourced to the subject's own account Death PlaceSourced to the subject's own accountLviv, Ukrainian SSR, Soviet Union (today Ukraine) 1 NationalitySourced to the subject's own account Notable WorkSourced to the subject's own accountBanach spaces, functional analysis, Banach algebras, the Banach-Tarski paradox and the Banach fixed-point theorem 1 BirthplaceSourced to the subject's own accountKraków, Austria-Hungary (today Poland) 1 Field
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Source Stefan Banach (Wikipedia)Lead paragraph of the cited Wikipedia articletier 3Quote, Lead paragraph of the cited Wikipedia article
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 most important and influential mathematicians.
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1. Stefan Banach (Wikipedia)
Wikipedialead sentence (birth date)
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 most important and influential mathematicians.
lead sentence (birth year)
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 most important and influential mathematicians.
lead sentence (death date)
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 most important and influential mathematicians.
lead sentence (death year)
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 most important and influential mathematicians.
lead sentence (nationality)
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 most important and influential mathematicians.
infobox: birth_place
birth_place = Kraków, Austria-Hungary; (today Poland)
infobox: death_place
death_place = Lviv, Ukrainian SSR, Soviet Union (today Ukraine)
infobox: field
field = Mathematics
infobox: known_for
known_for = Banach space; Functional analysis; Banach algebra; Banach measure; Banach-Tarski paradox; Banach fixed-point theorem
Member Of: National Academy of Sciences, Categories
Category:Members of the National Academy of Sciences
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