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math.FA2017★ 4 cited
Symmetrically separated sequences in the unit sphere of a Banach space
Petr Hájek, Tomasz Kania, Tommaso Russo
We prove the symmetric version of Kottman's theorem, that is to say, we demonstrate that the unit sphere of an infinite-dimensional Banach space contains an infinite subset wit…
math.FA2017★ 3 cited
Some remarks on smooth renormings of Banach spaces
Petr Hájek, Tommaso Russo
We prove that in every separable Banach space with a Schauder basis and a -smooth norm it is possible to approximate, uniformly on bounded sets, every equivalent norm with…