51 citations · 118 across the 25 of their papers we have counts for
33 papers
On Wolfgang Lusky's paper "The Gurarij spaces are unique''
Dirk Werner
This note surveys Wolfgang Lusky's proof of uniqueness of the Gurariy spaces and mentions further developments.
The Perfekt theory of -ideals
Dirk Werner
We revisit some ideas of K.-M.~Perfekt who has provided an elegant framework to detect the biduality between function or sequence spaces defined in terms of some - resp.\ -co…
Norm attaining operators of finite rank
Vladimir Kadets, Gines Lopez, Miguel Martin +1
We provide sufficient conditions on a Banach space in order that there exist norm attaining operators of rank at least two from into any Banach space of dimension at least…
Totally smooth renormings
Eve Oja, Tauri Viil, Dirk Werner
We study the problem of totally smooth renormings of Banach spaces and provide such renormings for spaces which are weakly compactly generated. We also consider renormings for $(a,…
Equivalent norms with an extremely nonlineable set of norm attaining functionals
Vladimir Kadets, Gines Lopez Perez, Miguel Martin +1
We present a construction that enables one to find Banach spaces whose sets of norm attaining functionals do not contain two-dimensional subspaces and such that, conseq…
Operations with slicely countably determined sets
Vladimir Kadets, Antonio Pérez, Dirk Werner
The notion of slicely countably determined (SCD) sets was introduced in 2010 by A.~Avilés, V.~Kadets, M.~Martín, J.~Merí and V.~Shepelska. We solve in the negative some natural que…