1 citations · 1 across the 2 of their papers we have counts for
2 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
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.