William Frederick Eberlein

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William Frederick Eberlein ( 1917 - 1986 ) was an American mathematician .

Eberlein studied from 1936 to 1942 at the University of Wisconsin and Harvard University , where he received his doctorate in 1942 with the thesis Closure, Convexity, and Linearity in Banach Spaces with Marshall Harvey Stone . He had other positions at the Institute for Advanced Study (1947-1948), at the University of Wisconsin (1948-1955), at Wayne State University (1955-1956) and finally from 1957 at the University of Rochester , where he was up to remained at the end of his life.

His main mathematical areas of work were analysis , ergodic theory and mean theorems, numerical integration , functional analysis and harmonic analysis . WF Eberlein also worked in theoretical physics, where he dealt with models of space-time and quantum physics , in particular with symmetries and spinor analysis .

The Eberlein-Šmulian Theorem and the Eberlein-compact spaces are connected with his name.

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