Mathematician:Hans Hahn

Mathematician
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 Decomposition Theorem
 * Hahn Embedding Theorem
 * Uniform Boundedness Principle (independently of and )


 * Hahn-Banach Theorem (independently of )
 * Hahn-Banach Separation Theorem (independently of )
 * Hahn-Kolmogorov Theorem (with )
 * Hahn-Mazurkiewicz Theorem (with )
 * Vitali-Hahn-Saks Theorem (with and )


 * Hahn Decomposition
 * Hahn-Jordan Decomposition (also known as a Jordan Decomposition with )

Publications

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