CONVEXITY PROPERTIES OF QUASIHYPERBOLIC BALLS ON BANACH SPACES

@article{Rasila2012CONVEXITYPO,
  title={CONVEXITY PROPERTIES OF QUASIHYPERBOLIC BALLS ON BANACH SPACES},
  author={Antti Rasila and Jarno Talponen},
  journal={Annales Academiae Scientiarum Fennicae. Mathematica},
  year={2012},
  volume={37},
  pages={215-228}
}
  • A. Rasila, J. Talponen
  • Published 19 July 2010
  • Mathematics
  • Annales Academiae Scientiarum Fennicae. Mathematica
We study the convexity and starlikeness of metric balls on Banach spaces when the metric is the quasihyperbolic metric or the distance ratio metric. In particular, problems related to these metrics on convex domains, and on punctured Banach spaces, are considered. 

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