- Hans Hahn
Hans Hahn (
September 27 ,1879 -July 24 ,1934 ) was anAustria n mathematician who made contributions tofunctional analysis ,topology ,set theory , thecalculus of variations ,real analysis , andorder theory . He was a student at the Technische Hochschule in Vienna.He also studied in
Strasbourg ,Munich andGöttingen . He was appointed to the teaching staff in Vienna in 1905 and became professor of mathematics there in 1921. In session 1905-06 Hahn substituted forOtto Stolz atInnsbruck .He was also interested in philosophy, and was part of a discussion group concerning Mach's positivism with
Otto Neurath andPhillip Frank prior to the first world war. In 1922, he helped arrange Moritz Schlick's entry into the group, which led to the founding of theVienna Circle , the group that was at the center oflogical positivist thought in the 1920s. His most famous student wasKurt Gödel , whose Ph.D. thesis was completed in 1929.Hahn's contributions to mathematics include the
Hahn-Banach theorem and (independently ofBanach and Steinhaus) theuniform boundedness principle . Other theorems include:
* theHahn decomposition theorem ;
* theHahn embedding theorem ;
* theHahn-Kolmogorov theorem ;
* the Hahn-Mazurkiewicz theorem;
* theVitali-Hahn-Saks theorem .External links
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