Disjointly almost trivial unbounded functionals
We show that there exist unbounded functionals on the spaces of sequences that take at most one nonzero value on an arbitrary family of elements whose supports are pairwise disjoint.
math.FA↗
arXiv subjects
Konstantin Storozhuk
Publications and source records attributed to Konstantin Storozhuk.
Strongly normal cones and the midpoint locally uniform rotundity
We give the method of construction of normal but not strongly normal positive cones in Banach space.
math.FA↗
Note on the question of Sikora
A natural topology on the set of left orderings on free abelian groups and free groups $F_n$, $n>1$ has studied in [1]. It has been proven already that in the abelian case the resulted topological space is a Cantor set. There was a conjecture: this is also true for the free group $F_n$ with $n>1$ generators. We point out the article dealing with equivalent questions. The answer is "yes".
math.GR↗