September 19, 1914|
|Died||March 22, 2010
Santa Barbara, California
|Institutions||University of California, Santa Barbara|
|Alma mater||University of Paris|
|Doctoral advisor||Maurice René Fréchet|
|Doctoral students||Charles Himmelberg
|Known for||Ky Fan norm
Ky Fan lemma
Ky Fan inequality
Fan was born in Hangzhou, the capital of Zhejiang Province, China. His father named Fan Qi (樊琦, 1879—1947) and served for the district courts of Jinhua and Wenzhou. Ky Fan went to Jinhua with his father when he was eight years old, and studied at several middle schools in Zhejiang including the Jinhua High School (currently Jinhua No.1 Middle School), Hangzhou Zongwen High School (currently Hangzhou No.10 Middle School), and Wenzhou High School. Fan obtained his secondary diploma from the Jinhua High School.
Fan enrolled into Peking University Department of Mathematics in 1932, and received his B.S. degree from Peking University in 1936. Initially Fan wanted to study engineering, but eventually shifted to mathematics, largely because of the influence of his uncle Feng Zuxun (冯祖荀, 1880–1940; b. Hangzhou, d. Beijing), who was a renowned mathematician in China and the then Chair of the Department of Mathematics of Peking University. After graduation, Fan became a teaching assistant in the department.
Fan went to France in 1939 and received his D.Sc. degree from the University of Paris in 1941. Fan's doctoral advisor was M.R.Fréchet. Fan was a research fellow at the French National Centre for Scientific Research (CNRS).
Fan was a member of the Institute for Advanced Study in Princeton from 1945 to 1947. In 1947, Fan joined the mathematical faculty of the University of Notre Dame, where he was an assistant professor at the beginning, and later promoted to associate professor and full professor. In 1960, Fan also held a position at Wayne State University in Detroit for about one year, but immediately went to Northwestern University near Chicago. In 1965, Fan became a professor of mathematics at UCSB.
Fan had 23 graduate students. He died in Santa Barbara in March 2010.
Fan was a student and collaborator of M. Fréchet and was also influenced by John von Neumann and Hermann Weyl. The author of approximately 130 papers, Fan made fundamental contributions to operator and matrix theory, convex analysis and inequalities, linear and nonlinear programming, topology and fixed point theory, and topological groups. His work in fixed point theory, in addition to influencing nonlinear functional analysis, has found wide application in mathematical economics and game theory, potential theory, calculus of variations, and differential equations.
The following are named after him:
- During his secondary school and college time, Fan said he "hated English". That was also an important reason for him to choose mathematics, with less English but full of equations, and go to Paris.
- Fan is quite famous for being an extremely strict professor.
- Sur quelques notions fondamentales de l'analyse générale, 1941
- Introduction à la topologie combinatoire, co-author with M.R.Fréchet, first published in 1946, later translated into English and Spanish.
- Fonctions définies-positives et les fonctions complètement monotones; leurs applications au calcul des probabilités et à la théorie des espaces distanciés, 1950