collaborators

14 papers

math.GT2026

Positive representations over real closed fields

Xenia Flamm, Nicolas Tholozan, Tianqi Wang +1

We develop the theory of -positive representations from general Fuchsian groups to linear groups over real closed fields. Our definition, which does not assume the boundary map…

math.CV2026

Proof of the Agler--McCarthy entropy conjecture

Jialin Lei, Teng Zhang

In 2021, J.~Agler and J.~E. McCarthy proposed a two-step programme toward the celebrated Krzyż conjecture. The first step is to prove an entropy conjecture for polynomials whose z…

math.FA2026

An operator triangle inequality for the quadratic symmetric modulus

Teng Zhang

50 years after Thompson's famous triangle inequality for the operator right modulus, we establish a triangle inequality for the quadratic symmetric modulus. We also discuss the cor…

math.FA2026

Clarkson--McCarthy type inequalities, part I: -- and -- Schatten -estimates

Teng Zhang

We characterize the matrices for which the operator square-sum identity holds for all Schatten-c…

math.CV2026

Intersections of Convex Hulls of Polynomial Shifts and Critical Points

Teng Zhang

Let be a complex polynomial of degree . For each , let denote the convex hull of the zeros of , and let denote the convex hull of…

math.FA2026

Proof of Audenaert-Kittaneh's Conjecture

Teng Zhang

By using the Three-lines theorem for a certain analytic function defined in terms of the trace and a duality argument method, we prove Audenaert-Kittaneh's conjecture related to $p…