Nationality Polish American Role Mathematician | Books Polyharmonic functions Name Nachman Aronszajn | |
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Alma mater University of WarsawUniversity of Paris Known for Aronszajn lineAronszajn–Smith theoremAronszajn treesMoore–Aronszajn theorem Doctoral advisor Maurice Rene Frechet, Stefan Mazurkiewicz | ||
Doctoral students W. Martin Greenlee | ||
Nachman Aronszajn (26 July 1907 – 5 February 1980) was a Polish American mathematician. Aronszajn's main field of study was mathematical analysis. He also contributed to mathematical logic.
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Life
An Ashkenazi Jew, Aronszajn received his Ph.D. from the University of Warsaw, in 1930, in Poland. Stefan Mazurkiewicz was his thesis advisor. He also received a Ph.D. from Paris University, in 1935; this time Maurice Fréchet was his thesis advisor. He joined the Oklahoma A&M faculty, but moved to the University of Kansas in 1951 with his colleague Ainsley Diamond after Diamond, a Quaker, was fired for refusing to sign a newly instituted loyalty oath. Aronszajn retired in 1977. He was a Summerfield Distinguished Scholar from 1964 to his death.
Work
He introduced, together with Prom Panitchpakdi, the injective metric spaces under the name of "hyperconvex metric spaces". Together with Kennan T. Smith, Aronszajn offered proof of the Aronszajn–Smith theorem. Also, the existence of Aronszajn trees was proven by Aronszajn; Aronszajn lines, also named after him, are the lexicographic orderings of Aronszajn trees.
He also made a contribution to the theory of reproducing kernel Hilbert space. The Moore–Aronszajn theorem is named after him.