Stefan Banach was a Polish mathematician, born in Krakow on 30 March 1892 to a family of Goral descent, who died on 31 August 1945. He is generally considered one of the most important and influential mathematicians of the twentieth century, and was one of the founders of modern functional analysis and an original member of the Lwow School of Mathematics. His major work was the 1932 book Theorie des operations lineaires, the first monograph on the general theory of functional analysis. Banach spaces and Banach algebras bear his name.
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Source Vector Space (Wikipedia)
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Source Banach Fixed-Point Theorem (Wikipedia)
Source Banach-Alaoglu Theorem (Wikipedia)
Source Banach-Steinhaus Theorem (Wikipedia)
Source MacTutor History of Mathematics: Stefan Banach
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Source Stefan Banach (Wikipedia)Lead paragraph [nationality-culture]Quote, Lead paragraph [nationality-culture]
was a Polish mathematician
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1. Stefan Banach (Wikipedia)
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He was one of the founders of modern functional analysis, and a
Lead paragraph [nationality-culture]
was a Polish mathematician
In Branch: Functional Analysis, Lead paragraph [in-branch]
functional analysis
View the SourceMacTutor History of Mathematics: Stefan Banach
MacTutor History of MathematicsProofs Credited: Banach-Tarski Paradox, Biography textQuote, Proofs Credited: Banach-Tarski Paradox, Biography text
The Banach- Tarski paradox appeared in a joint paper of the two mathematicians in 1926 in Fundamenta Mathematicae entitled Sur la décomposition des
Banach-Alaoglu Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Banach-Alaoglu Theorem, Lead paragraphQuote, Proofs Credited: Banach-Alaoglu Theorem, Lead paragraph
In functional analysis and related branches of mathematics, the Banach-Alaoglu theorem (also known as Alaoglu's theorem) states that the closed unit ball of the dual space of a normed vector
Banach Fixed-Point Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Banach Fixed-Point Theorem, LeadQuote, Proofs Credited: Banach Fixed-Point Theorem, Lead
The theorem is named after Stefan Banach (1892-1945) who first stated it in 1922.
Banach-Steinhaus Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Banach-Steinhaus Theorem, LeadQuote, Proofs Credited: Banach-Steinhaus Theorem, Lead
The theorem was first published in 1927 by Stefan Banach and Hugo Steinhaus, but it was also proven independently by Hans Hahn.
Vector Space (Wikipedia)
Wikimedia FoundationAttributed Works: Vector Space, LeadQuote, Attributed Works: Vector Space, Lead
Banach spaces, introduced by Stefan Banach, are complete normed vector spaces
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