David Herrera

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20202026

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math.FA2023

On the commutator modulus of continuity for operator monotone functions

David Herrera

Let $f \geq 0$ be operator monotone on $[0, \infty)$ . In this paper we prove that for any unitarily-invariant norm $∣∣∣ - ∣∣∣$ on $M_{n} (C)$ and matrices $A, B, X \in M_n(\mat…

math.FA2020

On Hastings' approach to Lin's Theorem for Almost Commuting Matrices

David Herrera

Lin's theorem states that for all $ε > 0$ , there is a $δ > 0$ such that for all $n \geq 1$ if self-adjoint contractions $A, B \in M_{n} (C)$ satisfy $∥ [A, B] ∥ < δ$ then there ar…