Olof Hanner (7 December 1922 in Stockholm – 19 September 2015 in Gothenburg) was a Swedish mathematician.

Education and career

Hanner earned his Ph.D. from

Stockholm University Stockholm University ( sv, Stockholms universitet) is a public research university in Stockholm, Sweden, founded as a college in 1878, with university status since 1960. With over 33,000 students at four different faculties: law, humanities, s ...

in 1952. He was a professor at the

University of Gothenburg The University of Gothenburg ( sv, Göteborgs universitet) is a university in Sweden's second largest city, Gothenburg. Founded in 1891, the university is the third-oldest of the current Swedish universities and with 37,000 students and 6000 s ...

from 1963 to 1989.

Contributions

In a 1956 paper, Hanner introduced the Hanner polytopes and the Hanner spaces having these polytopes as their metric balls. Hanner was interested in a Helly property of these shapes, later used to characterize them by : unlike other convex polytopes, it is not possible to find three

translated Translation is the communication of the meaning of a source-language text by means of an equivalent target-language text. The English language draws a terminological distinction (which does not exist in every language) between ''transla ...

copies of a Hanner polytope that intersect pairwise but do not have a point of common intersection. Subsequently, the Hanner polytopes formed a class of important examples for the Mahler conjecture and for Kalai's 3^''d'' conjecture. In another paper from the same year, Hanner proved a set of inequalities related to the uniform convexity of ''L''^''p'' spaces, now known as

Hanner's inequalities In mathematics, Hanner's inequalities are results in the theory of ''L'p'' spaces. Their proof was published in 1956 by Olof Hanner. They provide a simpler way of proving the uniform convexity of ''L'p'' spaces for ''p'' ∈ (1,& ...

. Other contributions of Hanner include (with Hans Rådström) improving Werner Fenchel's version of Carathéodory's lemma, contributing to ''

The Official Encyclopedia of Bridge ''The Official Encyclopedia of Bridge'' (OEB) presents comprehensive information on the card game contract bridge with limited information on related games and on playing cards. It is "official" in reference to the American Contract Bridge League ...

'', and doing early work on

combinatorial game theory Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Study has been largely confined to two-player games that have a ''position'' that the playe ...

and the mathematics of the board game Go. One of the many proofs of the

Pythagorean theorem In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposit ...

based on the Pythagorean tiling is sometimes called "Olof Hanner's Jigsaw Puzzle".Olof Hanner's Jigsaw Puzzle
Cut-the-Knot, retrieved 2013-05-17.

Selected publications

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References

External links

Olof Hanner
at

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{{DEFAULTSORT:Hanner, Olof 1922 births 2015 deaths Swedish mathematicians Stockholm University alumni University of Gothenburg faculty