1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.OA2024★ 1 cited
Symmetric functionals on simply generated symmetric spaces
Galina Levitina, Alexandr Usachev
In the present paper we suggest a construction of symmetric functionals on a large class of symmetric spaces over a semifinite von Neumann algebra. This approach establishes a bije…
math.FA2024
Decomposition of the set of Banach limits into discrete and continuous subsets
Nikolai Avdeev, Evgenii Semenov, Alexandr Usachev +1
The aim of this work is to describe subsets of Banach limits in terms of a certain functional characteristic. We compute radii and cardinalities for some of these subsets.
math.FA2024
Dixmier-type traces on semifinite symmetric spaces
Galina Levitina, Alexandr Usachev
We prove that a normalised linear functional on certain semifinite symmetric spaces respects tail majorisation if and only if it is a Dixmier-type trace.