Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Stefan_Banach> ?p ?o }
- Stefan_Banach abstract "Stefan Banach ([ˈstɛfan ˈbanax]; 30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the world's most important and influential 20th-century mathematicians. He was one of the founders of modern functional analysis, and an original member of the Lwów School of Mathematics. His major work was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of functional analysis.Born in Kraków, Banach attended Henryk Sienkiewicz Gymnasium, a secondary school, and worked on mathematics problems with his friend Witold Wiłkosz. After graduating in 1910, Banach and Wiłkosz moved to Lwów. However, during World War I Banach returned to Kraków, where he befriended Hugo Steinhaus. After Banach solved some mathematics problems which Steinhaus considered difficult, they published their first joint work. In 1919, with several other mathematicians, Banach formed a mathematical society. In 1920 he received an assistantship at the Jagiellonian University.He soon became a professor at the Lwów Polytechnic, and a member of the Polish Academy of Learning. He organized the \"Lwów School of Mathematics\". Around 1929 he began writing his Théorie des opérations linéaires.After the outbreak of World War II, in September 1939, Lwów was taken over by the Soviet Union. Banach became a member of the Academy of Sciences of Ukraine and was dean of Lwów University's Department of Mathematics and Physics.In 1941, when the Germans took over Lwów, all institutions of higher education were closed to Poles. As a result, Banach was forced to earn a living as a feeder of lice at Rudolf Weigl's Institute for Study of Typhus and Virology. While the job carried the risk of infection with typhus, it protected him from being sent to slave labor in Germany and from other forms of repression. When the Soviets recaptured Lwów in 1944, Banach reestablished the University. However, because the Soviets were removing Poles from Soviet-annexed formerly-Polish territories, Banach prepared to return to Kraków. Before he could do so, he died in August 1945, having been diagnosed seven months earlier with lung cancer.Some of the notable mathematical concepts that bear Banach's name include Banach spaces, Banach algebras, the Banach–Tarski paradox, the Hahn–Banach theorem, the Banach–Steinhaus theorem, the Banach-Mazur game, the Banach–Alaoglu theorem, and the Banach fixed-point theorem.".
- Stefan_Banach almaMater Lviv_Polytechnic.
- Stefan_Banach award National_Academy_of_Sciences_of_Ukraine.
- Stefan_Banach award Polish_Academy_of_Learning.
- Stefan_Banach birthDate "1892-03-30".
- Stefan_Banach birthPlace Austria-Hungary.
- Stefan_Banach birthPlace Grand_Duchy_of_Cracow.
- Stefan_Banach birthPlace Kraków.
- Stefan_Banach birthPlace Poland.
- Stefan_Banach deathDate "1945-08-31".
- Stefan_Banach deathPlace Lviv.
- Stefan_Banach deathPlace Soviet_Union.
- Stefan_Banach deathPlace Ukrainian_Soviet_Socialist_Republic.
- Stefan_Banach doctoralAdvisor Hugo_Steinhaus.
- Stefan_Banach doctoralStudent Stanisław_Mazur.
- Stefan_Banach field Mathematics.
- Stefan_Banach knownFor Banach–Tarski_paradox.
- Stefan_Banach knownFor Functional_analysis.
- Stefan_Banach knownFor Uniform_boundedness_principle.
- Stefan_Banach nationality Poles.
- Stefan_Banach notableStudent Stanislaw_Ulam.
- Stefan_Banach thumbnail عالم_الرياضيات_البولندى_ستيفان_بناخ.jpg?width=300.
- Stefan_Banach wikiPageExternalLink greczek.html.
- Stefan_Banach wikiPageExternalLink Banach.html.
- Stefan_Banach wikiPageExternalLink g8.htm.
- Stefan_Banach wikiPageExternalLink e-index.html.
- Stefan_Banach wikiPageExternalLink e-jakimowicz_miranowicz.html.
- Stefan_Banach wikiPageExternalLink PPP1,M1.
- Stefan_Banach wikiPageID "29646".
- Stefan_Banach wikiPageLength "19799".
- Stefan_Banach wikiPageOutDegree "146".
- Stefan_Banach wikiPageRevisionID "707986365".
- Stefan_Banach wikiPageWikiLink Academician.
- Stefan_Banach wikiPageWikiLink Antoni_Łomnicki.
- Stefan_Banach wikiPageWikiLink Austria-Hungary.
- Stefan_Banach wikiPageWikiLink Austro-Hungarian_Army.
- Stefan_Banach wikiPageWikiLink Banach_algebra.
- Stefan_Banach wikiPageWikiLink Banach_fixed-point_theorem.
- Stefan_Banach wikiPageWikiLink Banach_space.
- Stefan_Banach wikiPageWikiLink Banach–Alaoglu_theorem.
- Stefan_Banach wikiPageWikiLink Banach–Mazur_game.
- Stefan_Banach wikiPageWikiLink Banach–Stone_theorem.
- Stefan_Banach wikiPageWikiLink Banach–Tarski_paradox.
- Stefan_Banach wikiPageWikiLink Category:1892_births.
- Stefan_Banach wikiPageWikiLink Category:1945_deaths.
- Stefan_Banach wikiPageWikiLink Category:20th-century_Polish_mathematicians.
- Stefan_Banach wikiPageWikiLink Category:Burials_at_Lychakiv_Cemetery.
- Stefan_Banach wikiPageWikiLink Category:Lviv_Polytechnic_alumni.
- Stefan_Banach wikiPageWikiLink Category:Members_of_the_Lwów_Scientific_Society.
- Stefan_Banach wikiPageWikiLink Category:Members_of_the_National_Academy_of_Sciences_of_Ukraine.
- Stefan_Banach wikiPageWikiLink Category:Members_of_the_Polish_Academy_of_Learning.
- Stefan_Banach wikiPageWikiLink Category:People_from_Kraków.
- Stefan_Banach wikiPageWikiLink Category:People_from_Lviv.
- Stefan_Banach wikiPageWikiLink Category:Polish_Gorals.
- Stefan_Banach wikiPageWikiLink Category:Soviet_people.
- Stefan_Banach wikiPageWikiLink Cauchy_space.
- Stefan_Banach wikiPageWikiLink Closed_range_theorem.
- Stefan_Banach wikiPageWikiLink Complete_metric_space.
- Stefan_Banach wikiPageWikiLink Concept.
- Stefan_Banach wikiPageWikiLink Doctorate.
- Stefan_Banach wikiPageWikiLink Eponym.
- Stefan_Banach wikiPageWikiLink Feeder_of_lice.
- Stefan_Banach wikiPageWikiLink File:Banach-Tarski_Paradox.svg.
- Stefan_Banach wikiPageWikiLink Frigyes_Riesz.
- Stefan_Banach wikiPageWikiLink Functional_analysis.
- Stefan_Banach wikiPageWikiLink Grand_Duchy_of_Cracow.
- Stefan_Banach wikiPageWikiLink Gymnasium_(school).
- Stefan_Banach wikiPageWikiLink Hahn–Banach_theorem.
- Stefan_Banach wikiPageWikiLink Hans_Hahn_(mathematician).
- Stefan_Banach wikiPageWikiLink Hugo_Steinhaus.
- Stefan_Banach wikiPageWikiLink Humanities.
- Stefan_Banach wikiPageWikiLink Imperial_Russian_Army.
- Stefan_Banach wikiPageWikiLink Institute_for_Study_of_Typhus_and_Virology.
- Stefan_Banach wikiPageWikiLink Invasion_of_Poland.
- Stefan_Banach wikiPageWikiLink Jagiellonian_University.
- Stefan_Banach wikiPageWikiLink Jan_Albin_Goetz-Okocimski.
- Stefan_Banach wikiPageWikiLink Jan_Kroć.
- Stefan_Banach wikiPageWikiLink Kraków.
- Stefan_Banach wikiPageWikiLink Lebesgue_integration.
- Stefan_Banach wikiPageWikiLink Leon_Chwistek.
- Stefan_Banach wikiPageWikiLink List_of_Polish_people.
- Stefan_Banach wikiPageWikiLink List_of_things_named_after_Stefan_Banach.
- Stefan_Banach wikiPageWikiLink Lviv.
- Stefan_Banach wikiPageWikiLink Lviv_Polytechnic.
- Stefan_Banach wikiPageWikiLink Lviv_University.
- Stefan_Banach wikiPageWikiLink Lvov–Sandomierz_Offensive.
- Stefan_Banach wikiPageWikiLink Lwów_School_of_Mathematics.
- Stefan_Banach wikiPageWikiLink Lychakiv_Cemetery.
- Stefan_Banach wikiPageWikiLink Marriage.
- Stefan_Banach wikiPageWikiLink Mathematician.
- Stefan_Banach wikiPageWikiLink Mathematics.
- Stefan_Banach wikiPageWikiLink Matura.
- Stefan_Banach wikiPageWikiLink Metric_space.
- Stefan_Banach wikiPageWikiLink National_Academy_of_Sciences_of_Ukraine.
- Stefan_Banach wikiPageWikiLink Nazi_Germany.
- Stefan_Banach wikiPageWikiLink Nazi_concentration_camps.
- Stefan_Banach wikiPageWikiLink Norbert_Wiener.
- Stefan_Banach wikiPageWikiLink Normed_vector_space.
- Stefan_Banach wikiPageWikiLink Open_mapping_theorem_(functional_analysis).
- Stefan_Banach wikiPageWikiLink Operation_Barbarossa.