David Pinhusovich Milman (; 15 January 1912 in Chechelnyk near

Vinnytsia Vinnytsia ( ; , ) is a city in west-central Ukraine, located on the banks of the Southern Bug. It serves as the administrative centre, administrative center of Vinnytsia Oblast. It is the largest city in the historic region of Podillia. It also s ...

– 12 July 1982 in

Tel Aviv Tel Aviv-Yafo ( or , ; ), sometimes rendered as Tel Aviv-Jaffa, and usually referred to as just Tel Aviv, is the most populous city in the Gush Dan metropolitan area of Israel. Located on the Israeli Mediterranean coastline and with a popula ...

) was a

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 ...

and later

Israel Israel, officially the State of Israel, is a country in West Asia. It Borders of Israel, shares borders with Lebanon to the north, Syria to the north-east, Jordan to the east, Egypt to the south-west, and the Mediterranean Sea to the west. Isr ...

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, mathematical structure, structure, space, Mathematica ...

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 (for example, Inner product space#Definition, inner product, Norm (mathematics ...

. 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) is a Public university, public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Located in northwest Tel Aviv, the university is the center of teaching and ...

. 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 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 ...

, in particular differential equations and

normal mode A normal mode of a dynamical system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation. The free motion described by the normal modes takes place at fixed frequencies ...

s. 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 arbitra ...

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 (, ; 3 April 1907 – 17 October 1989) was a Soviet 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 ...

. He is the father of the mathematicians

Vitali Milman Vitali Davidovich Milman (; ) (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 President of the Israel Mathematical Union and a member of the “Aliyah” committ ...

and Pierre Milman; 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