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Stefan Banach ([ˈstɛfan ˈbanax] ( listen); March 30, 1892 – August 31, 1945) was a Polish mathematician who worked in interwar Poland and in Soviet Ukraine.
A selftaught mathematics prodigy, Banach was the founder of modern functional analysis and a founder of the Lwów School of Mathematics. Among his most prominent achievements was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of linearmetric space.
Notable mathematical concepts named after Banach include the Banach–Tarski paradox, Hahn–Banach theorem, Banach–Steinhaus theorem, BanachMazur game and Banach space.
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Early life
Stefan Banach was born on March 30, 1892, at St. Lazarus General Hospital in Kraków, then part of AustroHungarian Galicia. Banach's parents were Stefan Greczek and one Katarzyna Banach, both natives of the Podhale region.^{[2]} Stefan Greczek was born in Ostrowsko near the town of Nowy Targ^{[3]} and at one time was a soldier in the AustroHungarian Army stationed in Kraków. Stefan Greczek's father, Józef, was a farmer and a village mayor and Józef's wife, Antonina (née Borkowska) bore the Pomian coat of arms.^{[3]}
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