Olof Hanner
Swedish mathematician
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Mathematics
Olof Hanner's Degrees
- PhD Mathematics Uppsala University
- Masters Mathematics Uppsala University
- Bachelors Mathematics Uppsala University
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Why Is Olof Hanner Influential?
(Suggest an Edit or Addition)According to Wikipedia, Olof Hanner was a Swedish mathematician. Education and career Hanner earned his Ph.D. from Stockholm University in 1952. He was a professor at the University of Gothenburg 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 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 3d conjecture. In another paper from the same year, Hanner proved a set of inequalities related to the uniform convexity of Lp spaces, now known as Hanner's inequalities.
Olof Hanner's Published Works
Published Works
- On the uniform convexity ofLp andlp (1956) (151)
- Some theorems on absolute neighborhood retracts (1951) (143)
- Retraction and extension of mappings of metric and nonmetric spaces (1952) (67)
- Intersections of translates of convex bodies (1956) (61)
- Mean play of sums of positional games (1959) (36)
- A generalization of a theorem of Fenchel (1951) (28)
- Solid spaces and absolute retracts (1951) (28)
- Deterministic and non-deterministic stationary random processes (1950) (27)
- Retraction and extension of mappings (1952) (7)
- Construction of Balanced Howell Rotations for 2(pr + 1) Partnerships (1982) (3)
- Code assessment and applications program (1979) (1)
- Mathematics, A Solitary Game. (1970) (0)
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