James Andrew Clarkson

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James Andrew Clarkson (* 1906 , † 1970 ) was an American mathematician who studied analysis. He is known for his contributions to the convexity conditions of normalized spaces in functional analysis .

Clarkson received his bachelor's degree from Dartmouth College in 1929 and received his doctorate from Clarence Raymond Adams at Brown University in 1934 (On Definitions of Bounded Variation for Functions of Two Variables, On Double Riemann – Stieltjes Integrals). From 1934 to 1936 he was at the Institute for Advanced Study . From 1940 he taught at the University of Pennsylvania and from 1948 to 1969 he was a professor at Tufts University .

In 1936 he proved inequalities named after him for norms of sums and differences of measurable functions in Lp spaces . From them he derived the uniform convexity of Lp spaces. He introduced the concept of evenly convex spaces .

He received the Medal of Freedom for his work as an analyst for the evaluation of bombs .

Individual evidence

  1. In the membership book of the Institute for Advanced Study 1980, he is recorded as deceased and the year of birth 1906 is given. Life data in Winfried Kaballo Basic Course Functional Analysis , Spektrum Akademischer Verlag 2011
  2. James Andrew Clarkson in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. Who was Who in America, Marquis Whos Who 1973
  4. ^ Clarkson, Uniformly convex spaces, Transactions of the American Mathematical Society, Volume 40, 1936, pp. 396-414