Joram Lindenstrauss ( he, יורם לינדנשטראוס) (October 28, 1936 – April 29, 2012) was an Israeli mathematician working in functional analysis. He was a

professor Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a "person who pr ...

of mathematics at the

Einstein Institute of Mathematics The Einstein Institute of Mathematics () is a centre for scientific research in mathematics at the Hebrew University of Jerusalem, founded in 1925 with the opening of the university. A leading research institute, the institute's faculty has incl ...

Biography

Joram Lindenstrauss was born in Tel Aviv. He was the only child of a pair of lawyers who immigrated to Israel from Berlin. He began to study mathematics at the

Hebrew University of Jerusalem The Hebrew University of Jerusalem (HUJI; he, הַאוּנִיבֶרְסִיטָה הַעִבְרִית בִּירוּשָׁלַיִם) is a public university, public research university based in Jerusalem, Israel. Co-founded by Albert Einstein ...

in 1954 while serving in the army. He became a full-time student in 1956 and received his master's degree in 1959. In 1962 Lindenstrauss earned his

Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...

from the Hebrew University (dissertation: ''Extension of Compact Operators'', advisors:

Aryeh Dvoretzky Aryeh (Arie) Dvoretzky ( he, אריה דבורצקי, russian: Арье Дворецкий; May 3, 1916 – May 8, 2008) was a Russian-born Israeli mathematician, the winner of the 1973 Israel Prize in Mathematics. He is best known for his wo ...

Branko Grünbaum Branko Grünbaum ( he, ברנקו גרונבאום; 2 October 1929 – 14 September 2018) was a Croatian-born mathematician of Jewish descentElon Lindenstrauss Elon Lindenstrauss ( he, אילון לינדנשטראוס, born August 1, 1970) is an Israeli mathematician, and a winner of the 2010 Fields Medal. Since 2004, he has been a professor at Princeton University. In 2009, he was appointed to Profess ...

, are also mathematicians (providing a rare example of father, mother, son and daughter all having papers listed in Mathematical Reviews). Joram was also the cousin of

Micha Lindenstrauss Micha Lindenstrauss ( he, מיכה לינדנשטראוס) (28 June 1937 – 2 May 2019) was an Israeli judge and the State Comptroller between 2005 and 2012. Biography Micha Lindenstrauss was born in Berlin, Germany. His family immigrated to ...

Research

Lindenstrauss worked in various areas of functional analysis and geometry,A biographical sketch from the book "Classical Banach Spaces"
/ref> particularly Banach space theory, finite- and infinite-dimensional convexity, geometric nonlinear functional analysis and geometric measure theory. He authored more than 100 papers as well as several books in Banach space theory. Among his results is the Johnson–Lindenstrauss lemma which concerns low-distortion embeddings of points from high-dimensional into low-dimensional Euclidean space. Another of his theorems states that in a

Banach space In mathematics, more specifically in functional analysis, a Banach space (pronounced ) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vect ...

with the

Radon–Nikodym property In mathematics, the Bochner integral, named for Salomon Bochner, extends the definition of Lebesgue integral to functions that take values in a Banach space, as the limit of integrals of simple functions. Definition Let (X, \Sigma, \mu) be a mea ...

, a

closed Closed may refer to: Mathematics * Closure (mathematics), a set, along with operations, for which applying those operations on members always results in a member of the set * Closed set, a set which contains all its limit points * Closed interval, ...

and

bounded set :''"Bounded" and "boundary" are distinct concepts; for the latter see boundary (topology). A circle in isolation is a boundaryless bounded set, while the half plane is unbounded yet has a boundary. In mathematical analysis and related areas of m ...

has an

extreme point In mathematics, an extreme point of a convex set S in a real or complex vector space is a point in S which does not lie in any open line segment joining two points of S. In linear programming problems, an extreme point is also called vertex ...

; compactness is not needed.

Awards

In 1981 Lindenstrauss was awarded the Israel Prize, for mathematics. In 1997, Lindenstrauss was the first mathematician from outside Poland to be awarded the

Stefan Banach Medal Stefan Banach ( ; 30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the 20th century's most important and influential mathematicians. He was the founder of modern functional analysis, and an original ...

of the Polish Academy of Sciences.

Published works

* ''Classical Banach spaces I'' (with Lior Tzafriri). Springer-Verlag, 1977. * ''Classical Banach spaces II'' (with Lior Tzafriri). Springer-Verlag, 1979. * ''Banach spaces with a unique unconditional basis, up to permutation'' (with

Jean Bourgain Jean, Baron Bourgain (; – ) was a Belgian mathematician. He was awarded the Fields Medal in 1994 in recognition of his work on several core topics of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, ergodic theor ...

, Peter George Casazza, and Lior Tzafriri). ''Memoirs of the American Mathematical Society'', vol 322.

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

, 1985 *''Geometric nonlinear functional analysis'' (with Yoav Benyamini). Colloquium publications, 48. American Mathematical Society, 2000.Virtual display of books written by members of the Einstein Institute of Mathematics
/ref> * ''Handbook of the geometry of Banach spaces'' (Edited, with William B. Johnson). Elsevier, Vol. 1 (2001), Vol. 2 (2003).

References

{{DEFAULTSORT:Lindenstrauss, Joram 1936 births 2012 deaths 20th-century Israeli mathematicians Functional analysts Einstein Institute of Mathematics alumni Hebrew University of Jerusalem faculty Israeli Jews Israeli people of German-Jewish descent Israel Prize in mathematics recipients Members of the Israel Academy of Sciences and Humanities Scientists from Tel Aviv

Biography

Research

Awards

Published works

See also

References