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 WorldCat
WorldCat is a union catalog that itemizes the collections of tens of thousands of institutions (mostly libraries), in many countries, that are current or past members of the OCLC global cooperative. It is operated by OCLC, Inc. Many of the O ...
{{DEFAULTSORT:Hanner, Olof
1922 births
2015 deaths
Swedish mathematicians
Stockholm University alumni
University of Gothenburg faculty