Rihhard Nadel

activity

20172020

most citedStability of average roughness, octahedrality, and strong diameter 2 properties of Banach spaces with respect to absolute sums

10 citations · 10 across the 1 of their papers we have counts for

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math.FA2020

On Daugavet indices of thickness

Rainis Haller, Johann Langemets, Vegard Lima +2

Inspired by R. Whitley's thickness index the last named author recently introduced the Daugavet index of thickness of Banach spaces. We continue the investigation of the behavior o…

math.FA2018

Symmetric strong diameter two property

Rainis Haller, Johann Langemets, Vegard Lima +1

We study Banach spaces with the property that, given a finite number of slices of the unit ball, there exists a direction such that all these slices contain a line segment of lengt…

math.FA2017★ 10 cited

Stability of average roughness, octahedrality, and strong diameter 2 properties of Banach spaces with respect to absolute sums

Rainis Haller, Johann Langemets, Rihhard Nadel

We prove that, if Banach spaces $X$ and $Y$ are $δ$ -average rough, then their direct sum with respect to an absolute norm $N$ is $δ / N (1, 1)$ -average rough. In particular, for octahe…