From the 1 of 7 linked papers with an AI index.
7 papers
Trace formulas for -perturbations and extension of Koplienko-Neidhardt trace formulas
Arup Chattopadhyay, Clément Coine, Saikat Giri +1
The paper broadens the class of functions for which second‑order trace formulas hold for Hilbert‑Schmidt perturbations and establishes modified trace formulas for Schatten‑p pertur…
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…
Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations
Arup Chattopadhyay, Teun D. H. van Nuland, Chandan Pradhan
Given self-adjoint, symmetric and relatively -bounded, and satisfying mild conditions, we show that the Gateaux derivative $$\frac{d^n}{dt^n}…
Lipschitz Estimates and an application to trace formulae
Tirthankar Bhattacharyya, Arup Chattopadhyay, Saikat Giri +1
In this note, we provide an elementary proof for the expression of in the form of a double operator integral for every Lipschitz function on the unit circle $\cir$…
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…
Higher-Order Trace Formulas for Contractive and Dissipative Operators
Arup Chattopadhyay, Chandan Pradhan, Anna Skripka
We establish higher order trace formulas for pairs of contractions along a multiplicative path generated by a self-adjoint operator in a Schatten-von Neumann ideal, removing earlie…