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arXiv · 2210.16384

A remark on geodesics in the Banach Mazur distance

Alvaro Arias·Vladimir Kovalchuk
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Abstract

We show that there are uncountably many geodesics between any two non-isometric $n$-dimensional normed spaces. We construct two explicit geodesics that can be used to describe all the points of the other geodesics.

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Alvaro Arias, Vladimir Kovalchuk. 2022-10-28. A remark on geodesics in the Banach Mazur distance. https://doi.org/10.1090/proc/14854

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