Joram Lindenstrauss ( he, יורם לינדנשטראוס) (October 28, 1936 – April 29, 2012) was an Israeli

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 ...

working 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 a

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

of mathematics at the Einstein Institute of Mathematics.

Biography

Joram Lindenstrauss was born in

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 ...

. 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 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,

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.

Research

Lindenstrauss worked in various areas of

and

geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is ...

,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 In mathematics, the Johnson–Lindenstrauss lemma is a result named after William B. Johnson and Joram Lindenstrauss concerning low-distortion embeddings of points from high-dimensional into low-dimensional Euclidean space. The lemma states that a ...

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 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 me ...

, a closed and bounded set 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 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 the ...

, 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