Mathematician:Hans Hahn

Austrian mathematician who worked in the fields of functional analysis, topology, set theory, the calculus of variations, real analysis, and order theory.

Nationality
Austrian

History

 * Born: 27 Sept 1879, Vienna, Austria-Hungary
 * Died: 24 July 1934, Vienna, Austria

Theorems and Definitions

 * Hahn-Banach theorem (with Stefan Banach)
 * Uniform Boundedness Principle (independently of Stefan Banach and Hugo Steinhaus)


 * Hahn Decomposition Theorem
 * Hahn Embedding Theorem
 * Hahn-Kolmogorov Theorem (with Andrey Kolmogorov)
 * Hahn-Mazurkiewicz Theorem (with Stefan Mazurkiewicz)
 * Vitali-Hahn-Saks Theorem (with Giuseppe Vitali and Stanisław Saks)

Books and Papers

 * 1902: Zur Theorie der zweiten Variation einfacher Integrale
 * 1921: Theorie der reellen Funktionen
 * 1932: Reelle Funktionen
 * 1948: Set Functions (with Arthur Rosenthal)