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arxiv: 1104.3745 · v1 · pith:ECU56ARXnew · submitted 2011-04-19 · 🧮 math.CV · math.FA

Quasihyperbolic Geometry in Euclidean and Banach Spaces

classification 🧮 math.CV math.FA
keywords banacheuclideanquasihyperbolicspacesapplicationsbackgroundconsiderconvexity
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We consider the quasihyperbolic metric, and its generalizations in both the $n$-dimensional Euclidean space $R^n$, and in Banach spaces. Historical background, applications, and our recent work on convexity properties of these metrics are discussed.

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