David Herrera

activity

20202026

collaborators

5 papers

math.OA2026

Applications of the Projection Characterization and Symmetry Bootstrap for Operators that are Nearby Commuting Operators

David Herrera

This paper applies the Projection Characterization and the Symmetry Bootstrap for two operators $A, B$ (with $A$ unitary or self-adjoint) nearby commuting operators $A^{'}, B^{'}$ (with…

math.OA2024

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements

David Herrera

We define a symmetry map $φ$ on a unital $C^{*}$ -algebra $A$ to be an $R$ -linear map on $A$ that generalizes transformations on matrices like: transpose…

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…

quant-ph2022

Constructing Nearby Commuting Matrices for Reducible Representations of $s u (2)$ with an Application to Ogata's Theorem

David Herrera

Resolving a conjecture of von Neumann, Ogata's theorem in arXiv:1111.5933 showed the highly nontrivial result that arbitrarily many matrices corresponding to macroscopic observable…

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…

Applications of the Projection Characterization and Symmetry Bootstrap for Operators that are Nearby Commuting Operators

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements

On the commutator modulus of continuity for operator monotone functions

Constructing Nearby Commuting Matrices for Reducible Representations of su(2) with an Application to Ogata's Theorem

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

Constructing Nearby Commuting Matrices for Reducible Representations of $s u (2)$ with an Application to Ogata's Theorem