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math.FA2016
Rough norms in spaces of operators
Rainis Haller, Johann Langemets, Märt Põldvere
We investigate sufficient and necessary conditions for the space of bounded linear operators between two Banach spaces to be rough or average rough. Our main result is that $\mathc…
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…