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Convexity properties of quasihyperbolic balls on Banach spaces

arXiv:1007.3197 · doi:10.5186/aasfm.2012.3719

Abstract

We study convexity and starlikeness of quasihyperbolic and distance ratio metric balls on Banach spaces. In particular, problems related to these metrics on convex domains, and on punctured Banach spaces, are considered.