3 papers
math.OA2026
Noncommutative -differentiability and trace formulae
Arup Chattopadhyay, Clément Coine, Saikat Giri +1
Let be a semifinite von Neumann algebra equipped with a normal faithful semifinite trace , and let denote the associated noncommutative -sp…
math.FA2025
On modules of the Hardy space of Hartogs triangle
Arup Chattopadhyay, Saikat Giri, Shubham Jain
In this paper, we investigate the structure of doubly commuting submodules and quotient modules of the Hardy space over the Hartogs triangle. We establish a comp…
math.FA2024
Trace formulas for -perturbations and extension of Koplienko-Neidhardt trace formulas
Arup Chattopadhyay, Clément Coine, Saikat Giri +1
In this paper, we extend the class of admissible functions for the trace formula of the second order in the self-adjoint, unitary, and contraction cases for a perturbation in the H…