Hans Hahn

From Wikipedia, the free encyclopedia

Hans Hahn (September 27, 1879 - July 24, 1934) was an Austrian mathematician who made many contributions to functional analysis, topology, set theory, the calculus of variations, real analysis, and order theory. He was a student at the Technische Hochschule in Vienna.

He also studied in Strasbourg, Munich and Göttingen. He was appointed to the teaching staff in Vienna in 1905 and he became professor of mathematics there in 1921. In session 1905-06 Hahn substituted for Otto Stolz at Innsbruck.

He was also actively interested in philosophy, being a member of the Vienna Circle of logical Positivists, a discussion group of gifted scientists and philosophers who met regularly in Vienna..

Hahn's contributions to mathematics include the famous Hahn-Banach theorem and (independently of Banach and Steinhaus) the uniform boundedness principle. Other theorems include:

• the Hahn decomposition theorem;
• the Hahn embedding theorem;
• the Hahn-Kolmogorov theorem;
• the Hahn-Mazurkiewicz theorem;
• the Vitali-Hahn-Saks theorem.

[edit] External links

• O'Connor, John J..; Edmund F. Robertson "Hans Hahn". MacTutor History of Mathematics archive.