# Mark Krein

Mark Grigorievich Krein | |
---|---|

The memorial plaque of Mark Krein | |

Born |
Mark Grigorievich Krein April 3, 1907 Kiev, Russian Empire |

Died |
October 17, 1989 82) Odessa, Ukrainian SSR, Soviet Union | (aged

Residence |
Russian Empire Soviet Union |

Citizenship | Soviet Union |

Nationality | Soviet Union |

Fields |
Operator Theory Mathematical Physics |

Institutions |
I.I. Mechnikov Odessa National University Odessa Construction Institute |

Alma mater | I.I. Mechnikov Odessa National University |

Academic advisors | Nikolai Chebotaryov |

Doctoral students |
Vadym Adamyan Damir Arov Yurij Berezansky Izrail Glazman Israel Gohberg David Milman Mark Naimark |

Known for |
Krein space Functional analysis Krein's condition |

Notable awards | Wolf Prize (1982) |

**Mark Grigorievich Krein** (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.

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

## External links

- O'Connor, John J.; Robertson, Edmund F., "Mark Krein",
*MacTutor History of Mathematics archive*, University of St Andrews. - Mark Krein at the Mathematics Genealogy Project
- INTERNATIONAL CONFERENCE Modern Analysis and Applications (MAA 2007). Dedicated to the centenary of Mark Krein