- Juliusz Schauder
Juliusz Paweł Schauder (1899-1943) was a Polish mathematician of
Jewish origin, known for his work infunctional analysis ,partial differential equation andmathematical physics .Born on
September 21 1899 in Lwów, he had to fight inWorld War I right after his graduation from school. He was captured and imprisoned inItaly . He entered the university in Lwów in 1919 and received his doctorate in 1923. He got no appointment at the university and continued his research while working as teacher at a secondary school. Due to his outstanding results, he obtained a scholarship in 1932 that allowed him to spend several years in Leipzig and, especially, Paris. In Paris he started a very successful collaboration withJean Leray . Around 1935 Schauder obtained the position of a senior assistant in the University of Lwów.Schauder was
Jewish , and after the invasion of German troops in Lwów it was impossible for him to continue his work. In his letters to Swiss mathematicians, he wrote that he had important new results, but no paper to write them down. He was executed by theGestapo , probably in October 1943.Most of his mathematical work belongs to the field of
functional analysis , being part of a large Polish group of mathematicians, i.e.Lwów School of Mathematics . They were pioneers in this area with wide applications in all parts of modern analysis. Schauder is best known for theSchauder fixed point theorem which is a major tool to prove the existence of solutions in various problems, the Schauder bases (a generalization of anorthonormal basis fromHilbert space s toBanach space s), and theLeray -Schauder principle, a way to establish solutions ofpartial differential equation s froma priori estimates .External links
* [http://www.tmna.ncu.pl/htmls/memory.html A volume of TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS dedicated to Schauder]
** with links to "JULIUSZ SCHAUDER - PERSONAL REMINISCENCES" (by R.S.Ingarden)
** and to "MY MEMORIES OF JULIUSZ SCHAUDER" (by H. M. Schaerf)
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