James Andrew Clarkson (7 February 1906 – 6 June 1970) was an American mathematician and professor of mathematics who specialized in number theory. He is known for proving inequalities in Hölder spaces, and derived from them, the

uniform convexity In mathematics, uniformly convex spaces (or uniformly rotund spaces) are common examples of reflexive Banach spaces. The concept of uniform convexity was first introduced by James A. Clarkson in 1936. Definition A uniformly convex space is a no ...

of . His proofs are known in mathematics as

Clarkson's inequalities In mathematics, Clarkson's inequalities, named after James A. Clarkson, are results in the theory of ''L'p'' spaces. They give bounds for the ''L'p''-norms of the sum and difference of two measurable functions in ''L'p'' in terms of the ' ...

. He was an operations' analyst during World War II, and was awarded the Medal of Freedom for his achievements. He wrote ''First reader on game theory'', and many of his academic papers have been published in several scientific journals. He was an invited speaker at the 1932

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

(ICM) in Zürich.

Life

Originally from Massachusetts, in 1934 he received the Ph.D. in Mathematics from

Brown University Brown University is a private research university in Providence, Rhode Island. Brown is the seventh-oldest institution of higher education in the United States, founded in 1764 as the College in the English Colony of Rhode Island and Providenc ...

, with the dissertation entitled ''On Definitions of Bounded Variation for Functions of Two Variables, On Double Riemann–Stieltjes Integrals'' under the supervision of advisor

Clarence Raymond Adams Clarence Raymond Adams (April 10, 1898 – October 15, 1965) was an American mathematician who worked on partial difference equations. He entered Brown University in the fall of 1915 and graduated in 1918. Adams received his PhD in 1922 from Ha ...

. In 1943, he was assigned as a bombing analyst at the Bombing Accuracy Subsection of the Operational Research Section (ORS) at the Headquarters Eighth Air Force division of the United States Air Force, alongside other mathematicians like Frank M. Stewart, J. W. T. Youngs, Ray E. Gilman, and W. J. Youden. He later received the Medal of Freedom. From 1940 to 1948 he held a

tenured Tenure is a category of academic appointment existing in some countries. A tenured post is an indefinite academic appointment that can be terminated only for cause or under extraordinary circumstances, such as financial exigency or program disco ...

appointment in the Department of Mathematics in the University of Pennsylvania and then from 1949 to 1970 he held a professorship at Tufts University. Most of his academic papers and contributions have been published by the American Mathematical Society, and ''

Duke Mathematical Journal ''Duke Mathematical Journal'' is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas Joseph Miller Thomas (16 ...

''.

Academic papers

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References

{{DEFAULTSORT:Clarkson, James Andrew 1970 deaths 20th-century American mathematicians American number theorists People from Massachusetts Brown University alumni Tufts University faculty 1906 births