Mathematician:James Andrew Clarkson

Mathematician

American mathematician and professor of mathematics who specialized in number theory.

Known for proving inequalities in Hölder spaces, and derived from them, the uniform convexity of $L^p$ spaces.

Nationality

American

History

• Born: February 7, 1906 in Newburyport, Massachusetts, United States
• Died: June 6, 1970

Theorems and Definitions

• Clarkson's Inequalities

Publications

• The von Neumann-Jordan constant for the Lebesgue space

• 1932: A sufficient condition for the existence of a double limit (Bull. Amer. Math. Soc. Vol. 38, no. 6: pp. 391 – 393)
• 1933: On double Riemann–Stieltjes integrals (Bull. Amer. Math. Soc. Vol. 39, no. 12: pp. 929 – 937)
• 1933: On Definitions of Bounded Variation for Functions of Two Variables (Trans. Amer. Math. Soc. Vol. 35, no. 4: pp. 824 – 854) (with C. Raymond Adams)  www.jstor.org/stable/1989593
• 1934: On convergence in variation (Bull. Amer. Math. Soc. Vol. 40, no. 6: pp. 413 – 418) (with C.R. Adams)
• 1934: Properties of Functions $\map f {x, y}$ of Bounded Variation (Trans. Amer. Math. Soc. Vol. 36, no. 4: pp. 711 – 730) (with C. Raymond Adams)  www.jstor.org/stable/1989819
• 1936: Fourier series convergence criteria, as applied to continuous functions (Duke Math. J. Vol. 2, no. 1: pp. 112 – 116) (with W. C. Randels)
• 1936: Uniformly Convex Spaces (Trans. Amer. Math. Soc. Vol. 40, no. 3: pp. 396 – 414)  www.jstor.org/stable/1989630
• 1939: The Type of Certain Borel Sets in Several Banach Spaces (Trans. Amer. Math. Soc. Vol. 45, no. 2: pp. 322 – 334) (with C. Raymond Adams)  www.jstor.org/stable/1990120
• 1939: A Correction to "Properties of Functions $\map f {x, y}$ of Bounded Variation" (Trans. Amer. Math. Soc. Vol. 46, no. 3: p. 468) (with C. Raymond Adams)  www.jstor.org/stable/1989935
• 1943: Approximation by polynomials (Duke Math. J. Vol. 10, no. 1: pp. 5 – 11) (with P. Erdős)
• 1947: A property of derivatives (Bull. Amer. Math. Soc. Vol. 53, no. 2: pp. 124 – 126)
• 1948: Book Review: The theory of functions of real variables (Bull. Amer. Math. Soc. Vol. 54, no. 5: pp. 487 – 490)