Tirthankar Bhattacharyya

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math.FA2026

Pure matrix states on block Toeplitz matrices

Tirthankar Bhattacharyya, Ritul Duhan

Let $T_{n, m} = T_{n} (M_{m} (C))$ denote the operator system of all block Toeplitz matrices $T = ((T_{i - j}))_{i, j = 1}^{n}$ with entries $T_k \in M_m(\mathbb C)…

math.FA2025

Lipschitz Estimates and an application to trace formulae

Tirthankar Bhattacharyya, Arup Chattopadhyay, Saikat Giri +1

In this note, we provide an elementary proof for the expression of $f (U) - f (V)$ in the form of a double operator integral for every Lipschitz function $f$ on the unit circle $\cir$…