Mark Grigorievich Krein (, ; 3 April 1907 – 17 October 1989) was a Soviet mathematician, one of the major figures of the

Soviet The Union of Soviet Socialist Republics. (USSR), commonly known as the Soviet Union, was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 until Dissolution of the Soviet ...

school of

functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, Inner product space#Definition, inner product, Norm (mathematics ...

. He is known for works in

operator theory In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may be presented abstractly by their characteristics, such as bounded linear operato ...

(in close connection with concrete problems coming from

mathematical physics Mathematical physics is the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the de ...

), the problem of moments,

classical analysis Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. These theories are usually studied in ...

and

representation theory Representation theory is a branch of mathematics that studies abstract algebra, abstract algebraic structures by ''representing'' their element (set theory), elements as linear transformations of vector spaces, and studies Module (mathematics), ...

. He was born in

Kyiv Kyiv, also Kiev, is the capital and most populous List of cities in Ukraine, city of Ukraine. Located in the north-central part of the country, it straddles both sides of the Dnieper, Dnieper River. As of 1 January 2022, its population was 2, ...

, leaving home at age 17 to go to

Odesa Odesa, also spelled Odessa, is the third most populous List of cities in Ukraine, city and List of hromadas of Ukraine, municipality in Ukraine and a major seaport and transport hub located in the south-west of the country, on the northwestern ...

. He had a difficult academic career, not completing his first degree and constantly being troubled by

anti-Semitic Antisemitism or Jew-hatred is hostility to, prejudice towards, or discrimination against Jews. A person who harbours it is called an antisemite. Whether antisemitism is considered a form of racism depends on the school of thought. Antisemi ...

discrimination. His supervisor was

Nikolai Chebotaryov Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev; ; ; – 2 July 1947) was a Soviet mathematician. He is best known for the Chebotaryov density theorem. He was a student of Dmitry Grave. Chebotaryov worked on the algebr ...

. He was awarded the

Wolf Prize in Mathematics The Wolf Prize in Mathematics is awarded almost annually by the Wolf Foundation in Israel. It is one of the six Wolf Prizes established by the Foundation and awarded since 1978; the others are in Agriculture, Chemistry, Medicine, Physics and Arts. ...

in 1982 (jointly with

Hassler Whitney Hassler Whitney (March 23, 1907 – May 10, 1989) was an American mathematician. He was one of the founders of singularity theory, and did foundational work in manifolds, embeddings, immersion (mathematics), immersions, characteristic classes and, ...

), but was not allowed to attend the ceremony.

David Milman David Pinhusovich Milman (; 15 January 1912 in Chechelnyk near Vinnytsia – 12 July 1982 in Tel Aviv) was a Soviet and later Israeli mathematician specializing in functional analysis. He was one of the major figures of the Soviet school of fun ...

Mark Naimark Mark Aronovich Naimark (; 5 December 1909 – 30 December 1978) was a Soviet mathematician who made important contributions to functional analysis and mathematical physics. Life Naimark was born on 5 December 1909 in Odessa, part of modern-day U ...

Israel Gohberg Israel Gohberg (; ; 23 August 1928 – 12 October 2009) was a Bessarabian-born Soviet and Israeli mathematician, most known for his work in operator theory and functional analysis, in particular linear operators and integral equations. Biograph ...

, Vadym Adamyan, Mikhail Livsic and other known mathematicians were his students. He died in Odesa. On 14 January 2008, the memorial plaque of Mark Krein was unveiled on the main administration building of I.I. Mechnikov Odesa National University.

External links

* *
INTERNATIONAL CONFERENCE Modern Analysis and Applications (MAA 2007). Dedicated to the centenary of Mark Krein
* {{DEFAULTSORT:Krein, Mark G. 1907 births 1989 deaths Soviet mathematicians Ukrainian Jews Scientists from Kyiv Wolf Prize in Mathematics laureates Operator theorists Functional analysts Foreign associates of the National Academy of Sciences Russian scientists

See also

External links