Stefan Banach

E94307

Polish mathematician human mathematician

Stefan Banach was a pioneering Polish mathematician and one of the founders of modern functional analysis, known for fundamental contributions to measure theory, topology, and Banach spaces.

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All labels observed (3)

Label	Occurrences
Stefan Banach canonical	20
Stanisław Banach	2
Stefan Banach Medal (eponym)	1

Statements (48)

Predicate	Object
instanceOf	Polish mathematician ⓘ human ⓘ mathematician ⓘ
awardReceived	Stefan Banach self-linksurface differs ⓘ surface form: Stefan Banach Medal (eponym)
countryOfCitizenship	Poland ⓘ
educatedAt	Lwów Polytechnic ⓘ surface form: Lviv Polytechnic
eponymOf	Banach algebra ⓘ Banach fixed-point theorem ⓘ Banach limit ⓘ Banach measure ⓘ Banach spaces ⓘ surface form: Banach space Banach–Alaoglu theorem ⓘ Banach–Mazur distance ⓘ Banach–Mazur game ⓘ Banach–Mazur theorem ⓘ Banach–Saks theorem ⓘ Banach–Steinhaus theorem ⓘ Banach–Stone theorem ⓘ Banach–Tarski paradox ⓘ Hahn–Banach theorem ⓘ
ethnicGroup	Poles ⓘ
familyName	Banach spaces ⓘ surface form: Banach
fieldOfWork	functional analysis ⓘ mathematics ⓘ measure theory ⓘ topology ⓘ
givenName	Stefan ⓘ
languageOfWorkOrName	French ⓘ Polish ⓘ
memberOf	Lwów School of Mathematics ⓘ
nativeLanguage	Polish ⓘ
notableIdea	axiomatic treatment of normed vector spaces ⓘ foundations of modern functional analysis ⓘ
notableStudent	Hugo Steinhaus ⓘ Stanisław Mazur ⓘ
notableWork	Banach fixed-point theorem ⓘ Banach spaces ⓘ Banach–Alaoglu theorem ⓘ Banach–Mazur game ⓘ Banach–Steinhaus theorem ⓘ Banach–Tarski paradox ⓘ Hahn–Banach theorem ⓘ Theory of Linear Operations ⓘ
occupation	researcher ⓘ university teacher ⓘ
sexOrGender	male ⓘ
workLocation	Lwów ⓘ University of Lviv ⓘ surface form: University of Lwów

Referenced by (23)

Full triples — surface form annotated when it differs from this entity's canonical label.

Mark Kac → influencedBy → Stefan Banach ⓘ

Lwów School of Mathematics → hasMember → Stefan Banach ⓘ

Hugo Steinhaus → notableStudent → Stefan Banach ⓘ

Hugo Steinhaus → coAuthor → Stefan Banach ⓘ

Banach spaces → namedAfter → Stefan Banach ⓘ

subject surface form: Banach space

Stefan Banach → awardReceived → Stefan Banach self-linksurface differs ⓘ

this entity surface form: Stefan Banach Medal (eponym)

Banach inverse mapping theorem → namedAfter → Stefan Banach ⓘ

Banach fixed-point theorem → namedAfter → Stefan Banach ⓘ

"Functional Analysis" → hasHistoricalFigure → Stefan Banach ⓘ

subject surface form: Functional analysis

Scottish Book → compiledBy → Stefan Banach ⓘ

Polish School of Mathematics → notableMember → Stefan Banach ⓘ

Scottish Café → associatedWith → Stefan Banach ⓘ

Stanisław Mazur → influencedBy → Stefan Banach ⓘ

Banach–Steinhaus theorem → namedAfter → Stefan Banach ⓘ

Juliusz Schauder → coAuthor → Stefan Banach ⓘ

this entity surface form: Stanisław Banach

Juliusz Schauder → influencedBy → Stefan Banach ⓘ

this entity surface form: Stanisław Banach

Antoni Łomnicki → notableStudent → Stefan Banach ⓘ

Władysław Orlicz → influencedBy → Stefan Banach ⓘ

Józef Schreier → notableStudentOf → Stefan Banach ⓘ

Józef Schreier → collaboratedWith → Stefan Banach ⓘ

Banach–Tarski paradox → namedAfter → Stefan Banach ⓘ

Banach–Tarski paradox → author → Stefan Banach ⓘ

Banach–Alaoglu theorem → namedAfter → Stefan Banach ⓘ