Ky fan

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Ky Fan (1972)

Ky Fan (born September 19, 1914 in Hangchow , † March 22, 2010 in Santa Barbara ) was a Chinese-American mathematician .

Career

Ky Fan graduated from Beijing University in 1936 and received his doctorate in 1941 from the University of Paris under Maurice René Fréchet . His other academic career took place in the United States .

He was a member of the Institute for Advanced Study at Princeton University between 1945 and 1947 and later held professorships at the Universities of Notre Dame , Wayne State University and Northwestern University until he was finally appointed to the University of California, Santa Barbara in 1965 , to which he remained loyal until his retirement and then as a professor emeritus. In 1990 he was awarded an honorary doctorate from the University of Paris-Dauphine .

Ky Fan was married to Yu-Fen Fan.

plant

Ky Fan made important contributions in many areas of mathematics, especially nonlinear analysis . In matrix theory, he defined the Ky-Fan norm and showed that it is a norm. Other important contributions can be found in convex analysis ( Ky Fan inequality ) or approximation theory (Ky Fan’s theorem of the best approximation). The fixed point theorem by Ky Fan is very well known, which generalizes the traditional fixed point theorems to set- valued images and thus forms an important basis, for example in game theory . Further work by Ky Fan can be found in the field of topology and topological groups as well as combinatorics ( Ky Fan lemma ).

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