Olof Hanner

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Olof Hanner (born December 7, 1922 in Stockholm , † September 19, 2015 in Gothenburg ) was a Swedish mathematician who studied topology and convex geometry.

Life

Hanner received his doctorate in 1952 from Stockholm University ( rectraction and extension of mappings ). From 1949 to 1950 he was at the Institute for Advanced Study , where he worked with Hans Rådström . 1963 to 1989 he was professor at the University of Gothenburg .

In addition to topology, he dealt with the combinatorial game theory for the board game Go as well as with the mathematics of Bridge in a book .

In 1956 he introduced the Hanner polytopes named after him , which are defined recursively (starting with a simple line segment) and are completed with the formation of the Cartesian product and the formation of duality. Alternatively, they can also be formed with a Cartesian product and a direct sum. Hanner spaces are finite dimensional Banach spaces with Hanner polytopes as unit balls.

Fonts

  • with Hans Rådström: A generalization of a theorem of Fennel . In: Proc. AMS , 2, 1951, pp. 589-593 (on the Caratheodory theorem in Fennel's version), JSTOR 2032012
  • Solid spaces and absolute retracts . In: Arkiv Mat. , 1, 1952, pp. 375-382, doi : 10.1007 / BF02591374
  • Some theorems on absolute neighborhood retracts . In: Arkiv Mat. , 1, 1952, pp. 389-408, doi : 10.1007 / BF02591376
  • Intersections of translates of convex bodies . In: Mathematica Scandinavica , 4, 1956, pp. 65-87, mscand.dk
  • On the uniform convexity of L p and ℓ p . In: Arkiv Mat. , 4, 1956, pp. 239-244, doi : 10.1007 / BF02589410
  • Mean play of sums of positional games . In: Pacific J. Math. , 9, 1959, pp. 81-99, doi : 10.2140 / pjm. 1959.9.81
  • Mathematics, A Solitary Game . In: The Two-Year College Mathematics Journal , Volume 1, 1970, Issue 2, pp. 5-16, doi : 10.2307 / 3027352
  • with Hans-Olof Hallén, Per Jannersten, Barry Rigal: Bridge movements: A fair approach . 1994, ISBN 978-9185024865

See also

Individual evidence

  1. ^ Who's who in Scandinavia , 1980 in the Google book search
  2. ↑ Pratesi, Franco (2004): A Swedish pioneer of go and of its mathematical investigation , Nordisk GoBlad, 2004, Issue 2, pp. 9-10 ( online )
  3. ↑ Peter Sjögren: Olof Hanner in memoriam , Svenska matematikersamfundet Bulletinen, February 2016, pp. 22-24 ( online )
  4. ↑ Olof Hanner in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Hanner, Olof
BRIEF DESCRIPTION Swedish mathematician
DATE OF BIRTH December 7, 1922
PLACE OF BIRTH Stockholm
DATE OF DEATH 19th September 2015
Place of death Gothenburg