Mark Grigoryevich Krein
Encyclopedia
Mark Grigorievich Krein was a Soviet Jewish 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 Kiev
, leaving home at age 17 to go to Odessa
. He had a difficult academic career, not completing his first degree and constantly being troubled by anti-Semitic discrimination. His supervisor was Nikolai Chebotaryov
.
He was awarded the Wolf Prize in Mathematics
in 1982 (jointly with Hassler Whitney
),
but was not allowed to attend the ceremony.
David Milman
, Mark Naimark
, Izrail Glazman, Moshe Livshits and other known mathematicians were his students.
He died in Odessa.
14 January 2008, the memorial plaque of Mark Krein was unveiled on the main administration building of I.I. Mechnikov Odessa National University
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 and the linear operators acting upon these spaces and respecting these structures in a suitable sense...
. He is known for works in operator theory
Operator theory
In mathematics, operator theory is the branch of functional analysis that focuses on bounded linear operators, but which includes closed operators and nonlinear operators.Operator theory also includes the study of algebras of operators....
(in close connection with concrete problems coming from mathematical physics
Mathematical physics
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines this area as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and...
), the problem of moments, classical analysis and representation theory
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...
.
He was born in Kiev
Kiev
Kiev or Kyiv is the capital and the largest city of Ukraine, located in the north central part of the country on the Dnieper River. The population as of the 2001 census was 2,611,300. However, higher numbers have been cited in the press....
, leaving home at age 17 to go to Odessa
Odessa
Odessa 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,...
. He had a difficult academic career, not completing his first degree and constantly being troubled by anti-Semitic discrimination. His supervisor was Nikolai Chebotaryov
Nikolai Chebotaryov
Nikolai Chebotaryov was a noted Russian and Soviet mathematician. He is best known for the Chebotaryov density theorem....
.
He was awarded the Wolf Prize in Mathematics
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
Hassler Whitney was an American mathematician. He was one of the founders of singularity theory, and did foundational work in manifolds, embeddings, immersions, and characteristic classes.-Work:...
),
but was not allowed to attend the ceremony.
David Milman
David Milman
David Pinhusovich Milman was a Soviet and later Israeli mathematician specializing in functional analysis. He was one of the major figures of the Soviet school of functional analysis...
, Mark Naimark
Mark Naimark
Mark Aronovich Naimark was a Soviet mathematician.He was born in Odessa, Russian Empire into a Jewish family and died in Moscow, USSR...
, Izrail Glazman, Moshe Livshits and other known mathematicians were his students.
He died in Odessa.
14 January 2008, the memorial plaque of Mark Krein was unveiled on the main administration building of I.I. Mechnikov Odessa National University
See also
- Tannaka–Krein duality
- Krein–Milman theorem and Krein–Rutman theorem in functional analysisFunctional analysisFunctional 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 and the linear operators acting upon these spaces and respecting these structures in a suitable sense...
- Krein spaceKrein spaceIn mathematics, in the field of functional analysis, an indefinite inner product spaceis an infinite-dimensional complex vector space K equipped with both an indefinite inner product\langle \cdot,\,\cdot \rangle \,...
- Krein's condition for the indeterminacy of the problem of moments