Haonan Zhang

collaborators

2 papers

math.CA2026

Proof of the Holevo--Utkin conjecture on sharp $ℓ_{p}$ norms for zero-sum vectors

Haonan Zhang

Let $d \geq 3$ and $p > 0$ . Let $∥ x ∥_{p}$ denote the $ℓ_{p}$ (quasi-)norm of a $d$ -dimensional vector $x$ . Holevo and Utkin \cite{HU26} conjectured that for $0 < p \leq 1$ , \[ \min \left\…

math.FA2018

From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture (New title)

Haonan Zhang

In this paper we study the joint convexity/concavity of the trace functions \[ Ψ_{p,q,s}(A,B)=\text{Tr}(B^{\frac{q}{2}}K^*A^{p}KB^{\frac{q}{2}})^s,~~p,q,s\in \mathbb{R}, \] where $…

Proof of the Holevo--Utkin conjecture on sharp ℓp​ norms for zero-sum vectors

From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture (New title)

Proof of the Holevo--Utkin conjecture on sharp $ℓ_{p}$ norms for zero-sum vectors