[EN] We obtain characterizations of nearly strong convexity and nearly very convexity by using the dual concept of S and WS points, related to the so-called Rolewicz's property (alpha). We give a characterization of those ...
Guirao Sánchez, Antonio José; Lissitsin, A.; Montesinos Santalucia, Vicente(Elsevier, 2019-11-01)
[EN] A Banach space X has the so-called ball-covering property whenever its unit sphere can be covered by a countable collection of open balls that miss the origin. If 0 < alpha < 1, then X has the alpha-ball covering ...
[EN] Weakly compactly generated Banach spaces and their subspaces are characterized by the presence of projectional skeletons with some additional properties. We work with real spaces. However the presented statements can ...