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Mark Aronovich Naimark (December 5, 1909December 30, 1978) was a Soviet
mathematicianA mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
He was born in
OdessaOdessa or Odesa is the administrative center of the Odessa Oblast located in southern Ukraine. The city is a major seaport located on the northwest shore of the Black Sea and the fourth largest city in Ukraine with a population of 1,029,000 .The predecessor of Odessa, a small Tatar settlement,...
,
Russian EmpireThe Russian Empire was a state that existed from 1721 until the Russian Revolution of 1917. It was the successor to the Tsardom of Russia and the predecessor of the Soviet Union...
(today's
UkraineUkraine is a country in Eastern Europe. It has an area of 603,628 km², making it the second largest contiguous country on the European continent, after Russia...
) into a Jewish family and died in
MoscowMoscow is the capital, the most populous city, and the most populous federal subject of Russia. The city is a major political, economic, cultural, scientific, religious, financial, educational, and transportation centre of Russia and the continent...
, USSR. He received his
PhDPHD may refer to:*Ph.D., a doctorate of philosophy*Ph.D. , a 1980s British group*PHD finger, a protein sequence*PHD Mountain Software, an outdoor clothing and equipment company*PhD Docbook renderer, an XML renderer...
in 1943 from the
Steklov Institute of MathematicsSteklov Institute of Mathematics or Steklov Mathematical Institute is a research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. It was established April 24, 1934 by the decision of the General Assembly of the Academy of Sciences of the USSR in...
.
Work
He is known for e.g.
 the Gelfand–Naimark theorem
In mathematics, the Gelfand–Naimark theorem states that an arbitrary C*algebra A is isometrically *isomorphic to a C*algebra of bounded operators on a Hilbert space...
;
 the Gelfand–Naimark–Segal construction
 the representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studiesmodules over these abstract algebraic structures...
of the complex classical Lie groupIn mathematics, a Lie group is a group which is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure...
s;
Publications
 Unitary representations of the classical group (with I. M. Gelfand, 1950)
 Linear Differential operators, 1954
 Normed Rings, 1956
 Linear Representations of the Lorentz Group, 1958
 Theory of Group Representations, 1974
(all the above books were written in Russian)
External links