12 citations · 22 across the 19 of their papers we have counts for
15 papers · 1 filter
Finite sum of squares, finite realization and noncommutative Carathéodory approximation
Tirthankar Bhattacharyya, James Eldred Pascoe, Chandan Pradhan
In the noncommutative polydisc, we first prove a positive sum of squares formula for a non-negative hereditary rational nc-function. The number of summands is finite. This result i…
Isometric Embeddability of Schatten Classes Revisited
Arup Chattopadhyay, Chandan Pradhan, Anna Skripka
In this note, we summarize known results and open questions on the existence of isometric embeddings between different Schatten classes as well as obtain a new non-embeddability re…
Positivity of spectral shift functions and infinite-dimensional BMV conjecture
Chandan Pradhan, Anna Skripka
We obtain a solution to the Bessis-Moussa-Villani conjecture for a trace-class perturbation of a semi-bounded operator and answer affirmatively the question on positivity of higher…
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}…