Nachman Aronszajn

From Wikipedia, the free encyclopedia

Nachman Aronszajn
Fields	Mathematics
Institutions	University of Kansas
Alma mater	University of Warsaw
Doctoral advisor	Stefan Mazurkiewicz
Known for	Aronszajn-Smith theorem Aronszajn trees Moore-Aronszajn theorem

Nachman Aronszajn (1907-1980), was a Polish American mathematician of Jewish descent. Aronszajn's main field of study and expertise was mathematical analysis. He also contributed to mathematical logic.

Contents 1 Life 2 Work 3 External links 4 References

[edit] Life

He 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 University of Kansas in 1951, where he retired in 1977. He was a Summerfield Distinguished Scholar from 1964 to his death.

[edit] Work

He introduced, together with Prom Panitchpakdi, the injective metric spaces under the name of "hyperconvex metric spaces". Together with K. T. Smith, Aronszajn offered proof of the Aronszajn-Smith theorem. Also, the existence of Aronszajn trees were proven by Aronszajn. He also has a fundamental contribution to the theory of Reproducing kernel Hilbert space, the Moore-Aronszajn theorem is named after him ^[1].

[edit] External links

• Nachman Aronszajn on Scientific Commons.
• Guide to the Nachman Aronszajn Collection, Personal Papers of Nachman Aronszajn, 1951-1977.

[edit] References

1. ^ Nachman Aronszajn, Theory of Reproducing Kernels, Transactions of the American Mathematical Society, volume 68, number 3, pages 337-404, 1950.