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math.FA2018
An uncountable version of Pták's combinatorial lemma
Petr Hájek, Tommaso Russo
In this note we are concerned with the validity of an uncountable analogue of a combinatorial lemma due to Vlastimil Pták. We show that the validity of the result for can not…
math.FA2018★ 9 cited
Separated sets and Auerbach systems in Banach spaces
Petr Hájek, Tomasz Kania, Tommaso Russo
The paper elucidates the relationship between the density of a Banach space and possible sizes of well-separated subsets of its unit sphere. For example, it is proved that for a la…