3 papers
math.FA2026
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…
math.FA2025
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…
math.FA2025
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…