David Milman
Encyclopedia
David Pinhusovich Milman ' onMouseout='HidePop("24884")' href="/topics/Vinnytsia">Vinnytsia
– 12 July 1982, Tel Aviv
) was a Soviet and later Israel
i mathematician
specializing in functional analysis
. He was one of the major figures of the Soviet school of functional analysis. In the 70s he emigrated to Israel
and was on the faculty of Tel Aviv University
.
Milman is known for his development of functional analysis
methods, particularly in operator theory
, in close connection with concrete problems coming from mathematical physics
, in particular differential equation
s and normal mode
s. The Krein–Milman theorem and the Milman–Pettis theorem are named after both of them.
Milman received his Ph.D. from Odessa State University in 1939 under direction of Mark Krein.
He is the father to mathematicians: Vitali Milman
and Pierre Milman
.
Vinnytsia
Vinnytsia is a city located on the banks of the Southern Bug, in central Ukraine. It is the administrative center of Vinnytsia Oblast.-Names:...
– 12 July 1982, Tel Aviv
Tel Aviv
Tel Aviv , officially Tel Aviv-Yafo , is the second most populous city in Israel, with a population of 404,400 on a land area of . The city is located on the Israeli Mediterranean coastline in west-central Israel. It is the largest and most populous city in the metropolitan area of Gush Dan, with...
) was a Soviet and later Israel
Israel
The State of Israel is a parliamentary republic located in the Middle East, along the eastern shore of the Mediterranean Sea...
i mathematician
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
specializing in functional analysis
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 was one of the major figures of the Soviet school of functional analysis. In the 70s he emigrated to Israel
Israel
The State of Israel is a parliamentary republic located in the Middle East, along the eastern shore of the Mediterranean Sea...
and was on the faculty of Tel Aviv University
Tel Aviv University
Tel Aviv University is a public university located in Ramat Aviv, Tel Aviv, Israel. With nearly 30,000 students, TAU is Israel's largest university.-History:...
.
Milman is known for his development of functional analysis
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...
methods, particularly 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...
, in particular differential equation
Differential equation
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders...
s and normal mode
Normal mode
A normal mode of an oscillating 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 frequencies of the normal modes of a system are known as its natural frequencies or resonant frequencies...
s. The Krein–Milman theorem and the Milman–Pettis theorem are named after both of them.
Milman received his Ph.D. from Odessa State University in 1939 under direction of Mark Krein.
He is the father to mathematicians: Vitali Milman
Vitali Milman
Vitali Davidovich Milman is a mathematician specializing in analysis. He is currently 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” committee of Tel-Aviv University.-Work:Milman received in Ph.D...
and Pierre Milman
Pierre Milman
Pierre D. Milman 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 University of Tel Aviv in 1975 after an interlude of several years as researcher at the Institute of Chemical Physics...
.