1 citations · 1 across the 4 of their papers we have counts for
4 papers
Extended zeta-function residues on principal ideals
Yongqiang Tian, Alexandr Usachev
We study extended zeta-function residues on principal ideals of compact operators and their connections with Dixmier traces. We establish a Lidskii-type formula for continuous sing…
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…
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.
Trace formulas in higher dimensions
Arup Chattopadhyay, Saikat Giri, Chandan Pradhan +1
The paper establishes the Krein and Koplienko trace formulas for multivariable operator functions on symmetrically normed ideals of bounded operators. Results are proved for self-a…