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Mark Krein: Soviet Mathematician's Legacy

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Mark Krein: Soviet Mathematician's Legacy

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Mark Krein

Mark Grigorievich Krein (Ukrainian: Марко́


Григо́рович Крейн, Russian: Марк Григо́рьевич Mark Grigorievich Krein
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.

He was born in Kyiv, leaving home at age 17 to go to


Odesa. He had a difficult academic career, not
completing his first degree and constantly being
troubled by anti-Semitic discrimination. His supervisor
was Nikolai Chebotaryov. The memorial plaque of Mark Krein
Born Mark Grigorievich Krein
He was awarded the Wolf Prize in Mathematics in
3 April 1907
1982 (jointly with Hassler Whitney), but was not
Kyiv, Kiev Governorate, Russian
allowed to attend the ceremony.
Empire
David Milman, Mark Naimark, Israel Gohberg, Vadym Died 17 October 1989 (aged 82)
Adamyan, Mikhail Livsic and other known Odesa, Ukrainian SSR, Soviet
mathematicians were his students. Union
Nationality Soviet Union
He died in Odesa.
Citizenship Soviet Union
On 14 January 2008, the memorial plaque of Mark Alma mater I.I. Mechnikov Odesa National
Krein was unveiled on the main administration University
building of I.I. Mechnikov Odesa National University.
Known for Functional analysis
Krein space
Krein's condition
See also Krein's extension theorem
Krein–Milman theorem
Tannaka–Krein duality Krein–Rutman theorem
Krein–Milman theorem and Krein–Rutman Krein–Smulian theorem
theorem in functional analysis Akhiezer–Krein–Favard constant
Krein space Markov–Krein theorem
Tannaka–Krein duality
Awards Wolf Prize (1982)
Scientific career
Fields Operator theory
Mathematical Physics
Krein's condition for the indeterminacy of the Institutions I.I. Mechnikov Odesa National
problem of moments University
Odesa Construction Institute
External links Academic Nikolai Chebotaryov
advisors
O'Connor, John J.; Robertson, Edmund F., Doctoral Vadym Adamyan
"Mark Krein" (https://mathshistory.st-andrews. students Israel Gohberg
ac.uk/Biographies/Krein.html), MacTutor
David Milman
History of Mathematics Archive, University of
St Andrews Mark Naimark
Mark Krein (https://mathgenealogy.org/id.php? Mikhail Samuilovich Livsic
id=73921) at the Mathematics Genealogy
Project
INTERNATIONAL CONFERENCE Modern Analysis and Applications (MAA 2007).
Dedicated to the centenary of Mark Krein (https://web.archive.org/web/20110830234048/htt
p://theorphys.onu.edu.ua/conferences/maa2007/maa2007_photo.htm)
Mark Krein (https://www.findagrave.com/memorial/228352533) at Find a Grave

Retrieved from "https://en.wikipedia.org/w/index.php?title=Mark_Krein&oldid=1253329105"

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