Reverse triangle inequality. Antinorms and semi-antinorms
- 1 March 2012
- journal article
- Published by Akademiai Kiado Zrt. in Studia Scientiarum Mathematicarum Hungarica
- Vol. 49 (1) , 120-138
Abstract
The paper concerns a biunique correspondence between some positively homogeneous functions on ℝn and some star-shaped sets with nonempty interior, symmetric with respect to the origin (Theorems 3.5 and 4.3).Keywords
This publication has 5 references indexed in Scilit:
- Starshapedness vs. ConvexityResults in Mathematics, 2010
- On the π-function for nonconvex l 2,p -circle discsLithuanian Mathematical Journal, 2008
- On l 2,p -circle numbersLithuanian Mathematical Journal, 2008
- Antinorms and Radon curvesAequationes mathematicae, 2006
- A complementary triangle inequality in Hilbert and Banach spacesProceedings of the American Mathematical Society, 1966