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Leonidas Alaoglu

Leonidas Alaoglu
Born (1914-03-19)March 19, 1914
Red Deer, Alberta
Died August 1981 (1981-09) (aged 67)
Nationality US-American
Fields Mathematics
Institutions Pennsylvania State College, Harvard University, Purdue University, United States Air Force, Lockheed Martin
Alma mater University of Chicago
Thesis Weak Topologies of Normed Linear Spaces (1938)
Doctoral advisor Lawrence M. Graves
Known for Alaoglu's theorem

Leonidas (Leon) Alaoglu (Greek: Λεωνίδας Αλάογλου; March 19, 1914 – August 1981) was a mathematician, known for his result, called Alaoglu's theorem on the weak-star compactness of the closed unit ball in the dual of a normed space, also known as the Banach–Alaoglu theorem.

Alaoglu was born in Red Deer, Alberta to Greek parents. He received his BS in 1936, Master's in 1937, and PhD in 1938 (at the age of 24), all from the University of Chicago. His thesis, written under the direction of Lawrence M. Graves was entitled Weak topologies of normed linear spaces. His doctoral thesis is the source of Alaoglu's theorem. The 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.


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