Geodesic
ON A CHARACTERISTIC PROPERTY OF FINITE-DIMENSIONAL BANACH SPACES*
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 443-449

Voir la notice de l'article provenant de la source Cambridge University Press

This paper is inspired by a counter example of J. Kurzweil published in [5], whose intention was to demonstrate that a certain property of linear operators on finite-dimensional spaces need not be preserved in infinite dimension. We obtain a stronger result, which says that no infinite-dimensional Banach space can have the given property. Along the way, we will also derive an interesting proposition related to Dvoretzky's theorem.
DOI : 10.1017/S001708951100005X
Mots-clés : 47A30, 47A63, 46B07, 15A45 
SLAVÍK, ANTONÍN. ON A CHARACTERISTIC PROPERTY OF FINITE-DIMENSIONAL BANACH SPACES*. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 443-449. doi: 10.1017/S001708951100005X
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