James A. Clarkson

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James A. Clarkson
Nationality United States
Fields Mathematics
Institutions Tufts University
Alma mater Brown University
Thesis On Definitions of Bounded Variation for Functions of Two Variables, On Double Riemann–Stieltjes Integrals (1934)
Doctoral advisor Clarence Raymond Adams
Known for Clarkson's inequalities

James Andrew Clarkson was a 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 of Lpspaces. His proofs are known in mathematics as Clarkson's inequalities. 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.

Life[edit]

Originally from Massachusetts, in 1934 he received the Ph.D. in Mathematics from Brown University, 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.[1]

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.[2][3]

From 1940 to 1948 he held a tenured appointment in the Department of Mathematics in the University of Pennsylvania[4] and then from 1949 to 1970 he held a professorship at Tufts University.[5]

Most of his academic papers and contributions have been published by the American Mathematical Society, and Duke Mathematical Journal.

Academic papers[edit]

  • James A. Clarkson (1948). "Book Review: The theory of functions of real variables". Bulletin of the American Mathematical Society 54 (5): 487–490. doi:10.1090/S0002-9904-1948-09003-6. 
  • J. A. Clarkson (1947). "A property of derivatives". Bulletin of the American Mathematical Society 53 (2): 124–126. doi:10.1090/S0002-9904-1947-08757-7. 
  • J. A. Clarkson; Erdős, P. (1943). "Approximation by polynomials". Duke Mathematical Journal 10 (1): 5–11. doi:10.1215/S0012-7094-43-01002-6. 
  • C. Raymond Adams; James A. Clarkson (1939). "The Type of Certain Borel Sets in Several Banach Spaces". Transactions of the American Mathematical Society 45 (2). doi:10.2307/1990120. 
  • C. Raymond Adams; James A. Clarkson (1939). "A Correction to "Properties of Functions f(x, y) of Bounded Variation"". Transactions of the American Mathematical Society 46 (3). doi:10.2307/1989935. 
  • C. Raymond Adams; James A. Clarkson (1939). "The type of certain Borel sets in several Banach spaces". Transactions of the American Mathematical Society 45 (2): 322–322. doi:10.1090/S0002-9947-1939-1501994-1. 
  • C. R. Adams; J. A. Clarkson (1939). "A correction to "Properties of functions f(x, y) of bounded variation"". Transactions of the American Mathematical Society 46: 468. doi:10.1090/S0002-9947-1939-0000283-4. Retrieved 8 January 2013. 
  • James A. Clarkson (1936). "Uniformly Convex Spaces". Transactions of the American Mathematical Society 40 (3). doi:10.2307/1989630. 
  • J. A. Clarkson; W. C. Randels (1936). "Fourier series convergence criteria, as applied to continuous functions". Duke Mathematical Journal 2 (1): 112–116. doi:10.1215/S0012-7094-36-00210-7. 
  • James A. Clarkson (1936). "Uniformly convex spaces". Transactions of the American Mathematical Society 40 (3): 396–396. doi:10.1090/S0002-9947-1936-1501880-4. 
  • C. Raymond Adams; James A. Clarkson (1934). "Properties of Functions f(x, y) of Bounded Variation". Transactions of the American Mathematical Society 36 (4). doi:10.2307/1989819. 
  • C. R. Adams; J. A. Clarkson (1934). "On convergence in variation". Bulletin of the American Mathematical Society 40 (6): 413–418. doi:10.1090/S0002-9904-1934-05874-9. 
  • C. Raymond Adams; James A. Clarkson (1934). "Properties of functions f(x, y) of bounded variation". Transactions of the American Mathematical Society 36 (4): 711–711. doi:10.1090/S0002-9947-1934-1501762-6. 
  • James A. Clarkson; C. Raymond Adams (1933). "On Definitions of Bounded Variation for Functions of Two Variables". Transactions of the American Mathematical Society 35 (4): 824–824. doi:10.2307/1989593. 
  • J. A. Clarkson (1933). "On double Riemann–Stieltjes integrals". Bulletin of the American Mathematical Society 39 (12): 929–937. doi:10.1090/S0002-9904-1933-05771-3. 
  • J. A. Clarkson (1932). "A sufficient condition for the existence of a double limit". Bulletin of the American Mathematical Society 38 (6): 391–393. doi:10.1090/S0002-9904-1932-05403-9. 
  • J. A. Clarkson. "The von Neumann–Jordan constant for the Lebesgue space". 

References[edit]

  1. ^ James A. Clarkson at the Mathematics Genealogy Project
  2. ^ Richard A. Askey; Uta C. Merzbach (1989). "The Mathematical Scene, 1940–1965". A century of mathematics in America. 1(1988). American Mathematical Soc. p. 380. ISBN 978-0-8218-0124-6. LCCN 88022155. Retrieved 8 January 2013. 
  3. ^ McArthur, C. W. (1990). Operations Analysis in the U.S. Army: Eighth Air Force in World War II. American Mathematical Society. ISBN 9780821801581. LCCN 90000829. 
  4. ^ "Tenured Faculty 1899 –". University of Pennsylvania. Retrieved 8 January 2013. 
  5. ^ "Tufts University Fact Book 2011–2012". Tufts University. Retrieved 7 January 2013. 
LCCN Permalink
OCLC 15215732, 227257702 and 559697121
OCLC 559697139