Hans Hahn (mathematician)

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Hans Hahn
PhD
, 1902)
Known for
AwardsLieben Prize (1921)
Scientific career
Fields
Institutions
Gustav Ritter von Escherich
Doctoral students
Other notable studentsKarl Popper

Hans Hahn (German: [haːn]; 27 September 1879 – 24 July 1934) was an Austrian mathematician and philosopher who made contributions to functional analysis, topology, set theory, the calculus of variations, real analysis, and order theory. In philosophy he was among the main logical positivists of the Vienna Circle.

Biography

Born in Vienna as the son of a higher government official of the K.K. Telegraphen-Korrespondenz Bureau (since 1946 named "Austria Presse Agentur"), in 1898 Hahn became a student at the Universität Wien starting with a study of law. In 1899 he switched over to mathematics and spent some time at the universities of Strasbourg, Munich and Göttingen. In 1902 he took his Ph.D. in Vienna, on the subject "Zur Theorie der zweiten Variation einfacher Integrale". He was a student of Gustav von Escherich.

He was appointed to the teaching staff (

Professor extraordinarius, now in Bonn. In 1917 he was nominated a regular Professor there and in 1921 he returned to Vienna with this title, where he stayed until his rather early death in 1934 at the age of 54, following cancer surgery.[1]
He had married Eleonore ("Lilly") Minor in 1909 and they had a daughter, Nora (born 1910).

He was also interested in philosophy, and was part of a discussion group concerning

logical positivist thought in the 1920s. His most famous student was Kurt Gödel, whose Ph.D. thesis was completed in 1929. After Anschluss the fact that Hans Hahn had been of partial Jewish origin[2] caused Gödel's difficulties with getting a position at the University of Vienna.[3] Within the Vienna Circle, Hahn was also known (and controversial) for using his mathematical and philosophical work to study psychic phenomena; according to Karl Menger he sometimes openly advocated further research into extrasensory perception while lecturing.[4] Politically Hahn was a socialist and was chairman of the Association of Socialist University Teachers.[5]

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

Hahn authored the book (Hahn 1921): according to Arthur Rosenthal,[6] "... (it) formed a great advance in the Theory of Real functions and had a great influence on the further development of this theory". He was also a co-author of the book Set Functions,[7] published in 1948 by Arthur Rosenthal, fourteen years after his death in Vienna in 1934.

In 1921 he received the Richard Lieben Prize. In 1926 he was the president of the German Mathematical Society. In 1928 he was an Invited Speaker at the International Congress of Mathematicians in Bologna.[8]

Publications

All his mathematical and philosophical works, except all books and all but one of his book reviews, are published in the three volumes (Hahn 1995), (Hahn 1996) and (Hahn 1997) of his "Collected papers".[9]

  • Hahn, Hans (1921), Theorie der reellen Funktionen. Erster Band (in German), Berlin–
    JFM 48.0261.09[10] (freely available at the Internet Archive
    ).
  • Hahn, Hans (1932), Reelle Funktionen. Tl. 1. Punktfunktionen, Mathematik und ihre Anwendungen in Monographien und Lehrbüchern (in German), vol. Band 13,
    Zbl 0005.38903[11]
  • Hahn, Hans;
    Zbl 0033.05301[12]
  • Hahn, Hans (1995), Gesammelte Abhandlungen/Collected works. Band 1/Vol. 1 (in German),
    Zbl 0859.01030
  • Hahn, Hans (1996), Gesammelte Abhandlungen/Collected works. Band 2/Vol. 2 (in German),
    Zbl 0847.01033
    .
  • Hahn, Hans (1997), Gesammelte Abhandlungen/Collected works. Band 3/Vol. 3 (in German),
    Zbl 0881.01046
    .

See also

Notes

  1. ISBN 9783709166017
    .
  2. ^ Dan Diner (Ed.), Enzyklopädie jüdischer Geschichte und Kultur: Band 6: Te–Z, p. 403, Springer-Verlag, 2017
  3. ^ Richard Tieszen, Simply Gödel, Simply Charly, New York, 2017.
  4. ISBN 978-0-226-40336-6
    .
  5. ^ Edmonds, David. The Murder of Professor Schlick: The Rise and Fall of the Vienna Circle. Princeton University Press. p. 134.
  6. ^ See Arthur Rosenthal preface to the book (Hahn & Rosenthal 1948, p. v).
  7. ^ See (Hahn & Rosenthal 1948).
  8. doi:10.1007/978-3-7091-6601-7_16
  9. Zbl 0859.01030 of the first volume (Hahn 1995
    ).
  10. doi:10.1090/s0002-9904-1922-03604-x
    .
  11. doi:10.1090/s0002-9904-1933-05702-6
    .
  12. doi:10.1090/s0002-9904-1949-09195-4
    .

External links
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