Mathematician:Mark Grigorievich Krein

Mathematician

Ukrainian mathematician who worked mainly in functional analysis.

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.

Suffered persecution and discrimination for being Jewish.

Wolf Prize

Mark Grigorievich Krein was awarded a Wolf Prize for Mathematics in $\text {1982}$:

For his fundamental contributions to functional analysis and its applications.

Nationality

Ukrainian

History

• Born: 3 April 1907 in Kyiv, Russian Empire (now Ukraine)
• Died: 17 October 1989 in Odessa, Ukrainian SSR, Soviet Union (now Ukraine)

Theorems and Definitions

• Krein Space

• Krein's Condition for Exponential Sums
• Krein's Condition for Indeterminacy of Moment Problem

• Krein-Milman Theorem (with David Pinhusovich Milman)
• Krein-Rutman Theorem (with Mark Aronovich Rutman)
• Tannaka-Krein Duality (with Tadao Tannaka)

Results named for Mark Grigorievich Krein can be found here.

Definitions of concepts named for Mark Grigorievich Krein can be found here.

Publications

• 1940: On extreme points of regular convex sets (Stud. Math. Vol. 9: pp. 33 – 138) (with David Milman)
• 1945: On an extrapolation problem due to Kolmogorov (Doklady Akademii Nauk SSSR Vol. 46: pp. 306 – 309)

Also known as

In Ukrainian: Марко́ Григо́рович Крейн

In Russian: Марк Григо́рьевич Крейн

Sources

• John J. O'Connor and Edmund F. Robertson: "Mark Grigorievich Krein": MacTutor History of Mathematics archive