Mark Grigorievich Krein ( April 3, 1907 , Kiev - October 17, 1989 , Odessa ) - Soviet mathematician , author of more than 250 works (including 7 monographs ) on various branches of algebra , analysis , function theory , functional analysis , theory of integral and differential equations , mathematical physics and analytical mechanics . Brother mathematician Selim Crane .
| Mark Grigorevich Crane | |
|---|---|
 | |
| Date of Birth | April 3, 1907 |
| Place of Birth | Kiev , Russian Empire |
| Date of death | October 17, 1989 (82 years old) |
| Place of death | Odessa , USSR |
| A country |  the USSR |
| Scientific field | maths |
| Place of work | Odessa National University named after I. I. Mechnikov Odessa Civil Engineering Institute |
| Alma mater | |
| Academic degree | |
| supervisor | Nikolay Grigorievich Chebotaryov |
| Famous students | V. M. Adamyan D.Z. Arov Yu. M. Berezansky I. Ts. Gokhberg I. S. Iokhvidov D. M. Kotelyansky D.P. Milman Yu. L. Shmulyan |
| Awards and prizes | Wolf Award ( 1982 ) Prize named after N. M. Krylov ( 1978 ) |
Content
Biography
At 26, he became a professor , five years later became a doctor of physical and mathematical sciences, then a corresponding member of the Academy of Sciences of the Ukrainian SSR . He worked in educational institutions and research institutes of Odessa, Kuibyshev , Kharkov, Kiev. In 1930-1933, he taught at Odessa universities, in 1933 he founded and headed the department of function theory at the restored Odessa University, where he was appointed professor. In 1940 he was accepted to the post of head of the department of algebra and functional analysis of the Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR in Kiev. Doctor of physico-mathematical sciences (1939).
Since 1954 he worked at the Odessa Civil Engineering Institute , because of his nationality [1] [2] he was dismissed from the university.
The work is characterized by a combination of modern ideas of functional analysis and the classical ideas of Chebyshev and Markov , their connection with specific problems of mechanics. Prepared more than 60 candidates and doctors of sciences . Even in the pre-war years, Odessa Mathematical School was formed under the guidance of Crane. Since the International Mathematical Congress of 1966 in Moscow, together with their student Israel Hochberg , they have been speaking at mathematical conferences for several years and published under the collective pseudonym GoCra .
In 1970, he was elected an honorary foreign member of the American Academy of Arts and Sciences . Member of the Kharkov , Moscow and American Mathematical Societies , honorary member of the St. Petersburg Mathematical Society , laureate of the Krylov Prize .
On January 14, 2008, a memorial plaque dedicated to Mark Grigorievich Krein was installed on the building of the main building of Odessa University .
Wife - Raisa Lvovna Crane.
Selected Works
- Gantmakher F.R. , Kerin M.G. Oscillation matrices and cores and small vibrations of mechanical systems. - M.-L.: GITTL, 1950 .-- 360 p.
- Gokhberg I. Ts. , Kerin MG. Introduction to the theory of linear non-self-adjoint operators. - M .: Nauka, 1965 .-- 448 p. Publications in English: Providence: American Mathematical Society, 1969, 1978, 1983, 1988. In French: Paris : Dunod, 1971.
- Gokhberg I. Ts., Kerin MG The theory of Volterra operators in Hilbert space and its applications. - M .: Nauka, 1967 .-- 508 p. In English: Providence : American Mathematical Society, 1970, 2004.
- Daletsky Yu. L., Krein MG G. Stability of solutions of differential equations in a Banach space. - M .: Nauka, 1970 .-- 536 p.
- Krein M.G., Nudelman A.A. Markov moment problem and extremal problems. Ideas and problems of P. L. Chebyshev and A. A. Markov and their further development. - M.: Science, Ch. ed. Phys.-Math. lit., 1973.- 551 p.
- IC Gohberg and MG Krein, Theory and Applications of Volterra Operators in Hilbert Space (Translations of Mathematical Monographs), American Mathematical Society, 2004, p. 430. ISBN 978-0-8218-3627-9 .
- IS Iohvidov , MG Krein and H. Langer, Introduction to the Spectral Theory of Operators in Spaces with Indefinite Metric. Akademie-Verlag, Berlin, 1982.
See also
- Crane Space
- Crane-Milman Theorem
Notes
- ↑ Migdal Times No. 30 “Not only the circus refused it,” Alexander Chatsky
- ↑ “Stories of Two Layoffs,” S. Ya. Kolesnik, N. P. Malomuzh (Unavailable link) . Date of treatment October 23, 2012. Archived December 21, 2013.
Links
- International conference "Modern Analysis and Applications 2007" dedicated to the 100th anniversary of the birth of M. G. Kerin.
- Kusmirskaya G., Fishman I. Mathematician Krein Mark Grigoryevich: on the centenary of his birth
- Mitropolsky Yu. Yu. Mark G. Crane
- Rikun I. Krein Mark Grigorievich (1907-1989)
- Shapiro V. Migdal Times No. 96-97, Odessa "Mathematical"