Richard Kadison

Kadison in Nice 1970

Richard Vincent Kadison (born July 25, 1925 in New York City - † August 22, 2018 ) was an American mathematician who studied functional analysis , operator algebras and mathematical physics.

Kadison received his PhD in 1950 from the University of Chicago under Marshall Stone (Dissertation: A unified representation theory for topological algebra ). From 1950 to 1952 he was a National Research Fellow at the Institute for Advanced Study . In 1952 he became an assistant professor at Columbia University , where he was then an associate professor in 1956 and a professor in 1960. From 1964 he was Gustave C. Kuemmerle Professor of Mathematics at the University of Pennsylvania .

For a long time Kadison was a leading scientist in the field of operator algebras , on which he wrote a four-volume monograph with John Ringrose . A problem about operator algebras is named after him and Isadore Singer ( Kadison-Singer problem , 1959: can pure states of Abelian Von-Neumann algebras be unambiguously extended to such non-Abelian Von-Neumann algebras?). It also found applications or alternative formulations in very different other areas of mathematics such as graph theory and was solved in 2013 by Daniel Spielman , Nikhil Srivastava and Adam W. Marcus .

His PhD students include James Glimm , Marc Rieffel and Richard Lashof .

In 1954/5 he was a Fulbright Fellow (in Copenhagen ), from 1958 to 1962 a Sloan Research Fellow and 1969/70 Guggenheim Fellow . In 1987 he received an honorary doctorate in Copenhagen and in 1986 in Aix-Marseille. He was a member of the National Academy of Sciences and, since 2018, the American Academy of Arts and Sciences as well as a foreign member of the Danish and Norwegian Academy of Sciences . In 1999 he received the Leroy P. Steele Prize for his life's work . In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Mappings of operator algebras ). He was a fellow of the American Mathematical Society .

Fonts

with John Ringrose: Fundamentals of the theory of operator algebras. 2 volumes, Academic Press 1983, new edition at AMS 1997

Web links

Literature by and about Richard Kadison in the catalog of the German National Library
Steele Prize for Kadison, PDF (76 kB)

Individual evidence

^ Obituary , accessed August 30, 2018
↑ Richard Kadison in the Mathematics Genealogy Project (English)
↑ For normal states (which occur in quantum mechanics, for example) this was already proven by Kadison, Singer, the conjecture or the problem (Kadison and Singer assumed that the extension is not possible, but left this open in their formulation as a problem) was not for -normal states formulated. Spielman and colleagues proved that such an extension is also possible here.

personal data
SURNAME	Kadison, Richard
ALTERNATIVE NAMES	Kadison, Richard Vincent (full name)
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	July 25, 1925
PLACE OF BIRTH	New York City
DATE OF DEATH	22nd August 2018

[1] Obituary , accessed August 30, 2018

[2] Richard Kadison in the Mathematics Genealogy Project (English)

[3] For normal states (which occur in quantum mechanics, for example) this was already proven by Kadison, Singer, the conjecture or the problem (Kadison and Singer assumed that the extension is not possible, but left this open in their formulation as a problem) was not for -normal states formulated. Spielman and colleagues proved that such an extension is also possible here.