3 citations · 4 across the 24 of their papers we have counts for
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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…
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…
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}…
Higher order -differentiability: The unitary case
Arup Chattopadhyay, Clément Coine, Saikat Giri +1
Consider the set of unitary operators on a complex separable Hilbert space $\hilh$, denoted as $\mathcal{U}(\hilh)$. Consider . We establish that a function defined…