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math.FA2026
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…
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. We also provide a brief overview of the rel…
math.OA2026
Noncommutative -differentiability and trace formulae
Arup Chattopadhyay, Clément Coine, Saikat Giri +1
Let be a semifinite von Neumann algebra equipped with a normal faithful semifinite trace , and let denote the associated noncommutative -sp…