Juliusz shudder

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Juliusz shudder

Juliusz Paweł Schauder (born September 21, 1899 in Lemberg (Ukrainian Львів / Lwiw; Polish Lwów, Russian Львов / Lwow); † September 1943 ) was a Polish mathematician .

Life

Schauder was called up for World War I immediately after graduating from high school in 1917 , during which he was soon taken prisoner in Italy. In 1919 he began his studies in Lwów , in 1923 he received his doctorate under Hugo Steinhaus . Since he could not get a job at the university, he taught as a high school teacher and did his mathematical research on the side. In 1930 he published treatises on Banach spaces (see also Schauderbasis ). A scholarship enabled him from 1932 on research trips to Leipzig and above all Paris , where a fruitful collaboration with Jean Leray began. After the beginning of the Second World War and the occupation of Lwów by Soviet troops, he was finally appointed professor at the University of Lwów .

Schderer was a Jew, and after German troops marched into Lwów, it was impossible for him to continue his work. He didn't even have enough paper to write down his latest research and was murdered by a Gestapo patrol in 1943 . His wife died in the Majdanek concentration camp near Lublin , his daughter was saved by Catholic nuns and survived.

Together with Stefan Banach , Hugo Steinhaus , Stanisław Marcin Ulam , Wacław Sierpiński , Karol Borsuk , Władysław Orlicz and others, he belonged to the Lviv branch of the Polish School of Mathematicians of Functional Analysis , which today has significant applications in all areas of analysis and in the natural sciences. Schauder's best known result is the Schauder Fixed Point Theorem , which is an important abstract tool for proving the existence of solutions to numerous problems. Other concepts that he developed are Schauder bases (the generalization of orthonormal bases in Hilbert spaces to Banach spaces ) and the Leray-Schauder principle, which is a method for constructing solutions for partial differential equations .

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personal data
SURNAME Shudder, Juliusz
ALTERNATIVE NAMES Shudder, Juliusz Pawel
BRIEF DESCRIPTION Polish mathematician
DATE OF BIRTH September 21, 1899
PLACE OF BIRTH Lvov
DATE OF DEATH September 1943
Place of death Lvov