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math.FA2021
Positive definite functions of noncommuting contractions, Hua-Bellman matrices, and a new distance metric
Suvrit Sra
We study positive definiteness of Hua-Bellman matrices (i.e., matrices of the form , where and are strict contractions and $α\in\mathbb{R}…
math.FA2021
Introducing Discrepancy Values of Matrices with Application to Bounding Norms of Commutators
Pourya Habib Zadeh, Suvrit Sra
We introduce discrepancy values, quantities inspired by the notion of the spectral spread of Hermitian matrices. We define them as the discrepancy between two consecutive Ky-Fan-li…