Diametral strong diameter two property of Banach spaces is stable under direct sums with 1-norm
classification
🧮 math.FA
keywords
diametralpropertydiameterstrongbanachdirectnormpoint
read the original abstract
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 an "almost diametral" point) is stable under 1-sums, i.e., the direct sum of two spaces with the diametral strong diameter 2 property equipped with the 1-norm has again this property.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.