Search Results for author: Thomas Jahn

Found 1 papers, 0 papers with code

Coproximinality of linear subspaces in generalized Minkowski spaces

no code implementations14 Jan 2021 Thomas Jahn, Christian Richter

We show that, for vector spaces in which distance measurement is performed using a gauge, the existence of best coapproximations in $1$-codimensional closed linear subspaces implies in dimensions $\geq 2$ that the gauge is a norm, and in dimensions $\geq 3$ that the gauge is even a Hilbert space norm.

Metric Geometry Functional Analysis

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