Mark Krein
Mark Grigorievich Krein (Ukrainian: Марко Григорович Крейн, Russian: Марк Григо́рьевич Крейн; 3 April 1907 – 17 October 1989) was a Soviet Jewish mathematician, one of the major figures of the Soviet school of functional analysis. He is known for works in operator theory (in close connection with concrete problems coming from mathematical physics), the problem of moments, classical analysis and representation theory.
Mark Grigorievich Krein | |
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![]() The memorial plaque of Mark Krein | |
Born | Mark Grigorievich Krein 3 April 1907 |
Died | 17 October 1989 82) Odessa, Ukrainian SSR, Soviet Union | (aged
Nationality | Soviet Union |
Citizenship | Soviet Union |
Alma mater | I.I. Mechnikov Odessa National University |
Known for | Krein space Functional analysis Krein's condition Tannaka-Krein duality Krein-Milman theorem |
Awards | Wolf Prize (1982) |
Scientific career | |
Fields | Operator Theory Mathematical Physics |
Institutions | I.I. Mechnikov Odessa National University Odessa Construction Institute |
Academic advisors | Nikolai Chebotaryov |
Doctoral students | Vadym Adamyan Israel Gohberg David Milman Mark Naimark Mikhail Samuilovich Livsic |
He was born in Kiev, leaving home at age 17 to go to Odessa. He had a difficult academic career, not completing his first degree and constantly being troubled by anti-Semitic discrimination. His supervisor was Nikolai Chebotaryov.
He was awarded the Wolf Prize in Mathematics in 1982 (jointly with Hassler Whitney), but was not allowed to attend the ceremony.
David Milman, Mark Naimark, Izrail Glazman, Moshe Livshits and other known mathematicians were his students.
He died in Odessa.
On 14 January 2008, the memorial plaque of Mark Krein was unveiled on the main administration building of I.I. Mechnikov Odessa National University.
See also
- Tannaka–Krein duality
- Krein–Milman theorem and Krein–Rutman theorem in functional analysis
- Krein space
- Krein's condition for the indeterminacy of the problem of moments