Nachman Aronszajn

Nachman Aronszajn ( born July 26, 1907 in Warsaw, † February 5th, 1980 in Corvallis (Oregon ) ) was a Polish- American mathematician, who dealt with Analysis and mathematical logic.

Life

Aronszajn studied at Warsaw University, where he received his doctorate in 1930 with Stefan Mazurkiewicz, and he received his doctorate in 1935 for a second time at the Sorbonne in Maurice Fréchet. He was from 1930 to 1940 in France (which he had to leave as a Jew under German occupation ), from 1940 to 1945 in England, then back to 1948 in France and went in 1948 in the United States. He taught at Oklahoma State University - Stillwater (then Oklahoma Agricultural and Mechanical University ) but went after the University Ainsley Diamond dismissed because he refused a Loyaliltätseid. He went with Diamond in 1951 to the University of Kansas, where he was professor from 1951. In 1977 he became Professor Emeritus. After that, he was an adjunct professor at the University of Oregon in Corvallis.

He is known among other things for a set with Kennan T. Smith, that every compact operator in a Banach space of two and more dimensions has an invariant subspace. In the functional analysis, he developed with Stefan Bergman 's theory Hilbert spaces with reproduzierendem core ( set of Aronszajn and Moore).

In the set theory of Aronszajn tree is named after him, a tree with uncountably many nodes, but in which branches and levels are not uncountable. Aronszajn constructed as a tree 1934.

With Prom Panitchpakdi, he led an injective metric spaces (also called hyperkonvexe metric spaces ).

Writings

• Theory of Reproducing Kernels, Transactions of the American Mathematical Society, Volume 68, 1950, pp. 337-404.
• KT Smith, Invariant subspaces of completely Call continuous operators, Annals of Mathematics, Volume 60, 1954, pp. 345-350
• With P. Panitchpakdi: Extensions of Uniformly continuous transformations and hyperconvex metric spaces, Pacific Journal of Mathematics, Volume 6, 1956, pp. 405-439, correction tape 7, 1957, pp. 1729
• Sur les fonctions Decompositions of analytiques uniform et sur ​​leurs applications, Acta Mathematica, 65, 1935, 1-156