Mark Krein


Mark Grigorievich Krein (Ukrainian: Марко́ Григо́рович Крейн, Russian: Марк Григо́рьевич Крейн; 3 April 1907 – 17 October 1989) was a Soviet 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
Krein memorial plaque for wiki 2008.jpg
The memorial plaque of Mark Krein
Mark Grigorievich Krein

(1907-04-03)3 April 1907
Died17 October 1989(1989-10-17) (aged 82)
NationalitySoviet Union
CitizenshipSoviet Union
Alma materI.I. Mechnikov Odessa National University
Known forKrein space
Functional analysis
Krein's condition
Tannaka–Krein duality
Krein–Milman theorem
AwardsWolf Prize (1982)
Scientific career
FieldsOperator Theory
Mathematical Physics
InstitutionsI.I. Mechnikov Odessa National University
Odessa Construction Institute
Academic advisorsNikolai Chebotaryov
Doctoral studentsVadym Adamyan
Israel Gohberg
David Milman
Mark Naimark
Mikhail Samuilovich Livsic

He was born in Kyiv, 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, Israel Gohberg, Vadym Adamyan, Mikhail Livsic 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 alsoEdit

External linksEdit

  • 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
  • Mark Krein at Find a Grave