Leonidas Alaoglu
Leonidas Alaoglu | |
|---|---|
| Born | March 19, 1914 Alaoglu's theorem |
| Scientific career | |
| Fields | Mathematics (Topology) |
| Institutions | |
Normed linear spaces (1938) | |
| Doctoral advisor | Lawrence M. Graves |
Leonidas (Leon) Alaoglu (
normed space, also known as the Banach–Alaoglu theorem.[1]
Life and work
 | This section needs additional citations for verification. (April 2020) |
Alaoglu was born in
Bourbaki–Alaoglu theorem is a generalization of this result by Bourbaki to dual topologies
.
After some years teaching at Pennsylvania State College, Harvard University and Purdue University, in 1944 he became an operations analyst for the United States Air Force. In his last position, from 1953 to 1981 he worked as a senior scientist in operations research at the Lockheed Corporation in Burbank, California. In this latter period he wrote numerous research reports, some of them classified.
During the Lockheed years he took an active part in
Hugh Woodin
.
See also
- Axiom of Choice – The Banach–Alaoglu theorem is not provable from ZFwithout use of the Axiom of Choice.
- Banach–Alaoglu theorem
- Gelfand representation
- List of functional analysis topics
- Superabundant number – Article explains the 1944 results of Alaoglu and Erdős on this topic
- Tychonoff's theorem
- Weak topology – Leads to the weak-star topology to which the Banach–Alaoglu theorem applies.
Publications
- Alaoglu, Leonidas (M.S. thesis, U. of Chicago, 1937). "The asymptotic Waring problem for fifth and sixth powers" (24 pages). Advisor: Leonard Eugene Dickson
- Alaoglu, Leonidas (Ph.D. thesis, U. of Chicago, 1938). "Weak topologies of normed linear spaces" Advisor: Lawrence Graves
- Alaoglu, Leonidas (1940). "Weak topologies of normed linear spaces". MR 0001455.
- Alaoglu, Leonidas; J. H. Giese (1946). "Uniform isohedral tori". MR 0014230.
- Alaoglu, Leonidas; MR 0011087.
- Alaoglu, Leonidas; Paul Erdős (1944). "A conjecture in elementary number theory". MR 0011086.
- Alaoglu, Leonidas; PMID 16588311.
References
- ^ American Men & Women of Science. 14th edition. New York: R.R. Bowker, 1979. There is no entry for him in the 15th or later editions
- ^
Niven, Ivan (1989), "The Threadbare Thirties", in Duren, Peter L.; et al. (eds.), A Century of Mathematics in America, American Mathematical Society, p. 219, ISBN 0821801244
- Mac Lane, Saunders (December 1996). "Letter to the editor" (PDF). Notices of the American Mathematical Society: 1469–1471.
External links
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