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| death_place = Moscow, USSR
| death_date = {{Death date and age|1978|12|30|1909|12|05|df=y}}
| nationality =
| alma_mater = [[Odessa University]]
| workplaces = {{ublist |[[Semenov Institute of Chemical Physics]] |[[Moscow Institute of Physics and Technology]] |[[Steklov Institute of Mathematics]]}}
| thesis_title = The theory of normal operators in Hilbert space
| thesis_year = 1936
| doctoral_students = [[Khairulla Murtazin]]
| known_for = {{ublist |[[Gelfand–Naimark theorem]] |[[Gelfand–Naimark–Segal construction]] |[[Naimark's dilation theorem]]}}
| spouse = Larisa Petrovna Shcherbakova
| academic_advisors = [[Mark Krein]]
| children =
| resting_place = [[Kuntsevo Cemetery]], Moscow
}}
'''Mark Aronovich Naimark''' ({{lang-ru|Марк Ароно́вич Наймарк}}
==
Naimark was born on 5 December 1909 in [[Odessa]], part of modern-day [[Ukraine]], but which was then part of the [[Russian Empire]]. His family was [[Jewish]], his father Aron Iakovlevich Naimark a professional artist, and his mother was Zefir Moiseevna.<ref name=":0">{{Cite web|url=http://www-history.mcs.st-and.ac.uk/Biographies/Naimark.html|title=Naimark biography|website=www-history.mcs.st-and.ac.uk|access-date=2016-08-31}}</ref> He was four years old at the onset of [[World War I]] in 1914, and seven when the tumultuous [[Russian Revolution]] began in 1917. Showing an early talent for mathematics, Naimark enrolled in a technical college at the age of fifteen in 1924 soon after the [[Russian Civil War]] had ended. There he studied while working at a foundry until enrolling in the Physics and Mathematics faculty at Odessa Institute of National Education in 1929.<ref name=":0" /> He married his wife Larisa Petrovna Shcherbakova in 1932, with whom he had two sons.<ref name=":0" />
In 1933, Naimark began graduate studies at Odessa State University in the Department of the Theory of Functions.<ref name=":1">{{Cite web|url=http://learn-math.info/historyDetail.htm?id=Naimark|title=Mark Aronovich Naimark|last=Alexandru|first=Ionel|website=learn-math.info|access-date=2016-08-31}}</ref> He was supervised by the functional analyst [[Mark Krein]], completing his [[Candidate of Sciences|candidate's dissertation]] in 1936.<ref>{{Cite web|url=https://www.genealogy.math.ndsu.nodak.edu/id.php?id=74288|title=Mark Naimark - The Mathematics Genealogy Project|website=www.genealogy.math.ndsu.nodak.edu|access-date=2016-08-31}}</ref> Krein was at the time still a young mathematician, only two years older than Naimark, but had already built a research group in functional analysis, and they worked together on some of Naimark's first works on symmetric and Hermitian forms.<ref name=":0" /> In 1938 Naimark began his doctoral studies at the [[Steklov Institute of Mathematics]], where he developed his renowned work on self-adjoint extensions of symmetric operators, and began a collaboration with [[Israel Gelfand]] that lasted for over a decade.<ref name=":0" /> He received his doctorate in 1941, and was made a chair at the Seismological Institute of the USSR Academy of Sciences.<ref name=":1" />
In 1941 [[Operation Barbarossa|Hitler invaded the Soviet Union]], and in the same year the [[Reichskommissariat Ukraine|Romanian and German occupation of the Ukraine]] led to
After the war Naimark returned to Moscow, where he worked in various institutes, and in 1954 became a professor in the Department of Mathematics at the Physico-Technical Institute of Moscow. He was appointed a professor at the [[Steklov Institute of Mathematics]] in 1962, where he stayed for the remainder of his career, and supervised seven doctoral students.<ref name=":0" /> During the writing of his last book, ''Theory of group representations'', Naimark was too sick to write by himself, and so completed it by dictation to his wife. Naimark died on 30 December 1978 at age 69 after a prolonged illness,<ref name=":2" /> and was buried in [[Kuntsevo Cemetery]] in [[Moscow]].<ref>{{Cite web|url=http://nec.m-necropol.ru/naymark-ma.html|title=Они тоже гостили на земле... Наймарк Марк Аронович (1909-1978)|website=nec.m-necropol.ru|access-date=2016-09-01}}</ref> He had written 123 papers and five books.<ref name=":0" />
==Work==
Naimark's interests were formed in the 1930s during a golden age of functional analysis in the USSR. His early work with Krein included development of the theory of separation of roots of algebraic equations. Naimark also began to take interest in pedagogical techniques at this time, an interest that stayed with him for the rest of his life.<ref name=":2" /> After moving to the [[Steklov Institute of Mathematics]] for his D.Sc. Naimark worked intensively on spectral theory, extensions of symmetric operators, and the representation theory of locally compact operators.<ref name=":2" /> His collaboration with [[Israel Gelfand]] in the 1930s and 1940s led to several fundamental results in functional analysis, including the 1943 [[
During his service in [[World War II]] Naimark wrote several papers on seismology
In 1956 Naimark published his monograph ''[https://books.google.
Naimark's name is associated with several important ideas in functional analysis:
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==Selected publications==
* Unitary representations of the classical
* Linear Differential operators, 1954
* Normed Rings, 1956
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*[[Naimark's dilation theorem]]
*[[GNS theorem]]
*[[
*[[Naimark equivalence]]
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{{DEFAULTSORT:Naimark, Mark}}
[[Category:Soviet mathematicians|Naimark, Mark A.]]
[[Category:Scientists from
[[Category:1909 births|Naimark, Mark А.]]
[[Category:1978 deaths|Naimark, Mark А.]]
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[[Category:Odesa Jews]]
[[Category:Burials at Kuntsevo Cemetery]]
[[Category:Russian scientists]]
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