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Brouwer published his fixed point theorems in 1911 for finite dimensional spaces. Schauder published fixed point theorems for Banach spaces in 1930. During 1932-33 he studied at Leipzig and with Hadamard in Paris. His 1934 paper on topology and partial differential equations is of major importance. His last work was to generalise results of Courant, Friedrichs and Lewy on hyperbolic partial differential equations.
In 1941 the German army entered Lvov and a systematic extermination of Jews began. Schauder sent pleas for help to Hopf and Heisenberg saying he had many important results but no paper to write them on. He was shot by the Gestapo in September 1943.
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