Robert Schatten

Robert Schatten
Born
Rubin Schatten

(1911-01-28)January 28, 1911
DiedAugust 26, 1977(1977-08-26) (aged 66)
EducationJan Kazimierz University of Lwów
Columbia University
Known forSchatten norm
Schatten class operator
Scientific career
FieldsMathematics
WorkplacesUniversity of Vermont
University of Kansas
City University of New York
Thesis On the Direct Product of Banach Spaces  (1943)
Francis Joseph Murray
Doctoral students
Elliott Ward Cheney, Jr.

Rubin "Robert" Schatten (January 28, 1911 – August 26, 1977) was a Polish-American mathematician.

Education and career

Schatten was born to a Jewish family in Lviv (then Lemberg) during the Austro-Hungarian Empire. His intellectual origins were at Lwów School of Mathematics, particularly well known for fundamental contributions to functional analysis. His entire family was murdered during World War II, he himself emigrated to the United States.

In 1933 he got magister degree at Jan Kazimierz University of Lwów. He left Europe after losing his family in the Holocaust. In 1939, Schatten got master's degree at Columbia University. Supervised by Francis Joseph Murray, he got doctorate degree in 1942 for the thesis "On the Direct Product of Banach Spaces". Shortly after being appointed to a junior professorship, he joined the United States army where during training he suffered a back injury which affected him for the remainder of his life. In 1943 he was appointed to an assistant professorship at University of Vermont. At National Research Council, by two years he worked with John von Neumann and Nelson Dunford. In 1946, he went to the University of Kansas, first as extraordinary professor until 1952 and then as ordinary professor until 1961. He stayed at Institute for Advanced Study in 1950 and 1952–1953, at University of Southern California in 1960–1961, and at State University of New York in 1961–1962. In 1962 he became professor at Hunter College, where he stayed until his death.

Schatten widely studied tensor products of Banach spaces. In functional analysis, he is the namesake of the Schatten norm and the Schatten class operators. His doctoral students included Elliott Ward Cheney, Jr. at University of Kansas, and Peter Falley and Charles Masiello at City University of New York.

Books

References

  1. ↑ Maligranda, Lech; Prytuła, Yarosław (2023). "Rubin (Robert) Schatten (1911-1977)". Antiquitates Mathematicae. 17 (1). Polskie Towarzystwo Matematyczne: 163–188.
  2. 1 2 "Robert Schatten, at 66, Professor At Hunter College for 16 Years". The New York Times. 1977-08-30. ISSN 0362-4331. Retrieved 2026-10-22.
  3. ↑ "Befriended 'beggar' left Jewish causes fortune". The Jewish Week. 1980.
  4. ↑ Light, William Allan; Cheney, Elliott Ward (1985). Approximation Theory in Tensor Product Spaces. Lecture Notes in Mathematics. Vol. 1169. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/BFb0075391. ISBN 978-3-540-16057-1.
  5. ↑ Fan, Ky (1961). "Review: Norm ideals of completely continuous operators". Bull. Amer. Math. Soc. 67 (6): 532–533. doi:10.1090/s0002-9904-1961-10668-x.