Katriin Pirk

activity

20162020

most citedDaugavet- and Delta-points in absolute sums of Banach spaces

9 citations · 9 across the 1 of their papers we have counts for

collaborators

3 papers

math.FA2020★ 9 cited

Daugavet- and Delta-points in absolute sums of Banach spaces

Rainis Haller, Katriin Pirk, Triinu Veeorg

A Daugavet-point (resp.~ $Δ$ -point) of a Banach space is a norm one element $x$ for which every point in the unit ball (resp.~element $x$ itself) is in the closed convex hull of uni…

math.FA2018

Delta- and Daugavet-points in Banach spaces

Trond Arnold Abrahamsen, Rainis Haller, Vegard Lima +1

A $Δ$ -point $x$ of a Banach space is a norm one element that is arbitrarily close to convex combinations of elements in the unit ball that are almost at distance $2$ from $x$ . If,…

math.FA2016

Diametral strong diameter two property of Banach spaces is stable under direct sums with 1-norm

Rainis Haller, Katriin Pirk, Märt Põldvere

We prove that the diametral strong diameter 2 property of a Banach space (meaning that, in convex combinations of relatively weakly open subsets of its unit ball, every point has a…