Moshe Livsic

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Moshe Livsic (* English transcription of the Russian name Mikhail Samuilovich (or Samoilovich) Livsic, 4 July 1917 in Pokotilova at Uman ; † thirtieth March 2007 in Be'er Sheva ) was an Israeli-Ukrainian mathematician who with functional analysis dealt .

Life

Livsic moved to Odessa with his family when he was four. His father was a mathematics professor there (and previously a cantor of the Jewish community) and he was well known to the leading mathematicians in Odessa at the time ( Nikolai Grigoryevich Chebotaryov , Weniamin Fyodorovich Kagan , Mark Krein , SO Shatunovsky , Ivan Yu.Timchenko). Livsic was close friends at school with the mathematician Israel M. Glazman (1916–1968). Both were very interested in philosophy and therefore wanted to study science and mathematics as a basis. After finishing school he first attended a school for radio technicians and from 1933 the University of Odessa, where Mark Kerin, Mark Neumark and Boris Jakowlewitsch Levin were his teachers. Kerin was the head of a very active school of functional analysis there, and Lewin was a representative of function theory. The mathematicians AP Artyomenko, David Milman , Witold Lwowitsch Schmulian , MA Rutman and VA Potapov were fellow students .

Livsic received his PhD from Krein. Originally he dealt with the moment problem, at that time the main research area of ​​Kerin, and with quasi-analytical functions. Soon afterwards he switched to the theory of operators, inspired by the work of Marshall Stone , John von Neumann , Abraham Plessner and Naum Iljitsch Achijeser . During the evacuation of the university in World War II (he was not drafted because of poor eyesight) he did his doctorate in Maikop with Kerin on the application of Hermitian operators to the moment problem. In 1945 he completed his habilitation at the Steklow Institute in Moscow before Israel Gelfand , Stefan Banach , Plessner and Neumark. After that he could not return directly to the University of Odessa, where in the meantime Kerin's school had been smashed (he was accused of promoting too many Jewish mathematicians). Instead, he taught at the Sea Weather Institute in Odessa until 1957, then was at the Mining Institute in Kharkiv and from 1962 onwards he became a professor at the University of Kharkiv at the invitation of Achijeser. In the mid-1970s he took steps to travel to Israel, which he succeeded in 1978. He became a professor at Ben Gurion University in the Negev .

Fonts

  • with Leonid Waksman: Commuting nonselfadjoint operators in Hilbert space: two independent studies, Springer Verlag 1987
  • Operators, oscillations, waves, American Mathematical Society 1973

literature

  • Harry Dym , Israel Gohberg , Naftaly Kravitsky: Biography of MS Livsic, in: Gohberg, Livsic: Topics in operator theory and interpolation: essays dedicated to MS Livsic on the occasion of his 70th birthday, Operator Theory, Advances and Applications, 29, 1988 , 6-15 (reprinted in Harm Bart et al. Israel Gohberg and his friends: on the occasion of his 80th birthday).
  • Daniel Alpay, Livsic (editor): Operator theory, system theory and related topics: the Moshe Livšic anniversary volume, Operator Theory: Advances and Applications, Volume 123, Birkhäuser 2001 (conference at the Ben Gurion University and the Weizmann Institute for the 80th Birthday of Livsic)
  • Daniel Alpay, Viktor Vinnikov (editors): Characteristic Functions, Scattering Functions and Transfer Functions: The Moshe Livsic Memorial Volume, Operator Theory: Advances and Applications 197, Birkhäuser Verlag 2010

Web links

Individual evidence

  1. A specialist in mechanics
  2. Felix Ruwimowitsch Gantmacher moved from Livsic to Moscow at the beginning of his studies
  3. He was considered the most gifted student by Krein, but disappeared after the Second World War. His fate is unknown.
  4. In 1941 he published the first review article on operator theory in the Soviet Union in the Uspekhi Mat. Nauka, Volume 9, 1941
  5. His lecture series Infinite Dimensional Jacobi Matrices and the Moment Problem , published in Uspekhi Mat. Nauka, Volume 9, 1941