4 papers · 1 filter
BMV conjecture and positivity of spectral shift for relatively Schatten perturbations
Chandan Pradhan, Anna Skripka
We establish BMV-type results and prove the positivity-preserving property and uniqueness of support-normalized spectral shift functions of arbitrary order for semibounded operator…
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. We also provide a brief overview of the rel…
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…
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…