David Pinhusovich Milman (russian: Дави́д Пи́нхусович Ми́льман; 15 January 1912, Chechelnyk near

Vinnytsia Vinnytsia ( ; uk, Вінниця, ; yi, װיניצע) is a city in west-central Ukraine, located on the banks of the Southern Bug. It is the administrative center of Vinnytsia Oblast and the largest city in the historic region of Podillia. ...

– 12 July 1982,

Tel Aviv Tel Aviv-Yafo ( he, תֵּל־אָבִיב-יָפוֹ, translit=Tēl-ʾĀvīv-Yāfō ; ar, تَلّ أَبِيب – يَافَا, translit=Tall ʾAbīb-Yāfā, links=no), often referred to as just Tel Aviv, is the most populous city in the ...

) was a

Soviet The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nation ...

and later

Israel Israel (; he, יִשְׂרָאֵל, ; ar, إِسْرَائِيل, ), officially the State of Israel ( he, מְדִינַת יִשְׂרָאֵל, label=none, translit=Medīnat Yīsrāʾēl; ), is a country in Western Asia. It is situated ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

specializing in

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 (e.g. inner product, norm, topology, etc.) and the linear functions defined o ...

. He was one of the major figures of the Soviet school of functional analysis. In the 70s he emigrated to

and was on the faculty of

Tel Aviv University Tel Aviv University (TAU) ( he, אוּנִיבֶרְסִיטַת תֵּל אָבִיב, ''Universitat Tel Aviv'') is a public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Locate ...

. Milman is known for his development of

methods, particularly 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 operators ...

, in close connection with concrete problems coming from

mathematical physics Mathematical physics refers to the development of 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 developme ...

, in particular

differential equation In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...

s and normal modes. The

Krein–Milman theorem In the mathematical theory of functional analysis, the Krein–Milman theorem is a proposition about compact convex sets in locally convex topological vector spaces (TVSs). This theorem generalizes to infinite-dimensional spaces and to arbitrar ...

and the Milman–Pettis theorem are named after him. Milman received his Ph.D. from Odessa State University in 1939 under direction of

Mark Krein Mark Grigorievich Krein ( uk, Марко́ Григо́рович Крейн, russian: Марк Григо́рьевич Крейн; 3 April 1907 – 17 October 1989) was a Soviet mathematician, one of the major figures of the Soviet school of fu ...

. He is the father of the mathematicians

Vitali Milman Vitali Davidovich Milman ( he, ויטלי מילמן; russian: Виталий Давидович Мильман) (born 23 August 1939) is a mathematician specializing in analysis. He is a professor at the Tel Aviv University. In the past he was a ...

and

Pierre Milman Pierre D. Milman (russian: Пьер Д. Мильман), born 1945 in Odessa, is a mathematician and a professor at the University of Toronto. Milman graduated with a B.A. from the University of Moscow in 1967. He obtained his Ph.D. from the Uni ...

; and the grandfather to the mathematician Emanuel Milman and biochemist Pavel Milman.

Notes

External links

* 1912 births 1982 deaths 20th-century Israeli mathematicians Ukrainian Jews 20th-century Israeli Jews Soviet mathematicians Academic staff of Tel Aviv University Functional analysts Soviet emigrants to Israel Academic staff of K. D. Ushinsky South Ukrainian National Pedagogical University {{ukr-sci-stub