Joram Lindenstrauss (; 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, mathematical structure, structure, space, Mathematica ...

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

. He was a

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

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 inclu ...

Biography

Joram Lindenstrauss was born 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 ...

. 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; ) is an Israeli public university, public research university based in Jerusalem. Co-founded by Albert Einstein and Chaim Weizmann in July 1918, the public university officially opened on 1 April 1925. ...

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

Aryeh Dvoretzky Aryeh (Arie) Dvoretzky (, ; May 3, 1916 – May 8, 2008) was a Ukrainian-born Israeli mathematician, the winner of the 1973 Israel Prize in Mathematics. He is best known for his work in functional analysis, statistics and probability. He was t ...

Branko Grünbaum Branko Grünbaum (; 2 October 1929 – 14 September 2018) was a Croatian-born mathematician of Jewish descentElon Lindenstrauss, are also mathematicians (providing a rare example of father, mother, son and daughter all having papers listed in

Mathematical Reviews ''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also pu ...

). Joram was also the cousin of Micha Lindenstrauss.

Research

Lindenstrauss worked in various areas of

and

geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...

,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 ...

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 (, ) 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 vectors and ...

with the Radon–Nikodym property, a closed and

bounded set In mathematical analysis and related areas of mathematics, a set is called bounded if all of its points are within a certain distance of each other. Conversely, a set which is not bounded is called unbounded. The word "bounded" makes no sense in ...

has an

extreme point In mathematics, an extreme point of a convex set S in a Real number, real or Complex number, complex vector space is a point in S that does not lie in any open line segment joining two points of S. The extreme points of a line segment are calle ...

;

compactness In mathematics, specifically general topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space has no "punctures" or "missing endpoints", i.e., it ...

is not needed.

Awards

In 1981 Lindenstrauss was awarded the

Israel Prize The Israel Prize (; ''pras israél'') is an award bestowed by the State of Israel, and regarded as the state's highest cultural honor. History Prior to the Israel Prize, the most significant award in the arts was the Dizengoff Prize and in Israel ...

, 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 Louis, 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, ergodi ...

, 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. * ''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 Academic staff of the Hebrew University of Jerusalem 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 Burials at Har HaMenuchot

Biography

Research

Awards

Published works

See also

References