4 citations · 9 across the 5 of their papers we have counts for
6 papers
The Protasov-Zelenyuk topology and ideal convergence
Lydia Außenhofer, Dikran Dikranjan, Anna Giordano Bruno
The so-called -sequences in a group , and the related finest Hausdorff group topology on that makes a null sequence, were introduced…
"Varopoulos paradigm": Mackey property vs. metrizability in topological groups
Lydia Außenhofer, Daniel de la Barrera Mayoral, Dikran Dikranjan +1
The class of all locally quasi-convex (lqc) abelian groups contains all locally convex vector spaces (lcs) considered as topological groups. Therefore it is natural to extend class…
On the Nuclearity of Dual Groups
Lydia Aussenhofer
We prove that the dual space of a locally convex nuclear vector space endowed with the compact--open topology is a locally convex nuclear vector space. An analogous result is…
Linear topologies on are not Mackey topologies
Lydia Aussenhofer, Daniel de la Barrera Mayoral
In this article it is shown that to every non-discrete Hausdorff linear topology on other metrizable locally quasi-convex group topologies can be associated which are strictly…
Locally Minimal Topological Groups 2
Lydia Aussenhofer, María Jesús Chasco, Dikran Dikranjan +1
We continue in this paper the study of locally minimal groups started in \cite{LocMin}. The minimality criterion for dense subgroups of compact groups is extended to local minimali…
Locally minimal topological groups
Lydia Außenhofer, María Jesús Chasco, Dikran Dikranjan +1
A Hausdorff topological group is called locally minimal if there exists a neighborhood of 0 in such that fails to be a neighborhood of zero in any Hausdorff gro…