Unconditional bases and strictly convex dual renormings

We present equivalent conditions for a space $X$ with an unconditional basis to admit an equivalent norm with a strictly convex dual norm

A note on fragmentability and weak-G_delta sets

In terms of fragmentability, we describe a new class of Banach spaces which do not contain weak-G_delta open bounded subsets. In particular, none of these spaces is isomorphic to a separable polyhedral space

Weakly uniformly rotund Banach spaces

summary:The dual space of a WUR Banach space is weakly K-analytic

Isomorphically Polyhedral Banach Spaces

We prove two theorems giving su±cient conditions for a Banach space to be isomorphically polyhedral.Доказаны две теоремы, дающие достаточные условия для того, чтобы банахово пространство было изоморфически многогранным

Variational Analysis Down Under Open Problem Session

© 2018, Springer Science+Business Media, LLC, part of Springer Nature. We state the problems discussed in the open problem session at Variational Analysis Down Under conference held in honour of Prof. Asen Dontchev on 19–21 February 2018 at Federation University Australia