10 citations · 21 across the 14 of their papers we have counts for
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math.FA2014★ 5 cited
On thickness and thinness of Banach spaces
Trond A. Abrahamsen, Johann Langemets, Vegard Lima +1
The aim of this note is to complement and extend some recent results on Whitley's indices of thinness and thickness in three main directions. Firstly, we investigate both the indic…
math.FA2014
Almost square Banach spaces
Trond A. Abrahamsen, Johann Langemets, Vegard Lima
We single out and study a natural class of Banach spaces -- almost square Banach spaces. In an almost square space we can find, given a finite set in the unit…
math.FA2014
Geometry of Banach spaces with an octahedral norm
Rainis Haller, Johann Langemets
We discuss the geometry of Banach spaces whose norm is octahedral or, more generally, locally or weakly octahedral. Our main results characterize these spaces in terms of covering…