He was born in Odessa, Russian Empire (today's Ukraine) into a Jewish family and died in Moscow, USSR. He received his PhD in 1943 from the Steklov Institute of Mathematics; his doctoral advisor was Mark Krein. In 1962 he became professor in the Department of the Theory of Functions and Functional Analysis at the Steklov Mathematical Institute.
Contributions that Naimark is known for include
- the Gelfand–Naimark theorem on the reprentation of C*-algebras by bounded operators,
- the Gelfand–Naimark–Segal construction establishing a correspondence between cyclic *-representations and linear functionals, and
- the representation theory of the complex classical Lie groups.
- 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)
- Mark Naimark at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Mark Naimark", MacTutor History of Mathematics archive, University of St Andrews.
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