Tosio Kato

Tosio Kato
File:Tosio kato.JPG
Born	(1917-08-25)August 25, 1917 Kanuma, Tochigi, Japan
Died	Oakland, USA
Citizenship	Japan
Fields	Mathematics
Institutions	University of Tokyo University of California at Berkeley
Alma mater	Imperial University of Tokyo
Doctoral advisor	Kwan-ichi Terazawa
Doctoral students	Preben Alsholm Charles Amelin Erik Balslev Andrew Childs Gilles Darmois Charles Fisher Hiroshi Fujita James Howland Teruo Ikebe Rafael Iorio, Jr. Shige Kuroda Chi-Yuen Lai Charles Lin Frank Massey Francis McGrath Joel Mermin Masaomi Nakata Dung Nguyen Gershon Pinchuk Ronald Riddell Hugh Stewart Ponnaluri Suryanarayana Howard Swann Baoswan Wong-Dzung
Known for	Kato's conjecture Heinz–Kato inequality Kato Rellich Theorem
Notable awards	Asahi Prize (1960) Norbert Wiener Prize in Applied Mathematics (1980)

Tosio Kato (加藤 敏夫, Katō Toshio, August 25, 1917 – October 2, 1999) was a Japanese mathematician who worked with partial differential equations, mathematical physics and functional analysis.

Kato studied physics and received his undergraduate degree in 1941 at the Imperial University of Tokyo. After disruption of the Second World War, he received his doctorate in 1951 from the University of Tokyo, where he became a professor in 1958. From 1962, he worked as a professor at the University of California at Berkeley in the United States.

Many works of Kato are related to mathematical physics. In 1951, he showed the self-adjointness of Hamiltonians for realistic (singular) potentials. He dealt with nonlinear evolution equations, the Korteweg–de Vries equation (Kato smoothing effect in 1983) and with solutions of the Navier-Stokes equation. Kato is also known for his influential book Perturbation theory of linear operators, published by Springer-Verlag.

In 1980, he won the Norbert Wiener Prize in Applied Mathematics from AMS and SIAM. In 1970, he gave a plenary lecture at the ICM in Nice (scattering theory and perturbation of continuous spectra).

Publications

• Perturbation theory of linear operators. Principles of Mathematical Sciences, Springer-Verlag, 1966, 1976.
• A short introduction to the perturbation theory of linear operators. Springer-Verlag 1982.

External links

• Tosio Kato at the Mathematics Genealogy Project