Teng Zhang

activity

20222026

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5 papers · 1 filter

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

Johnson's determinantal identity for contiguous minors of Toeplitz matrices, with an accretive extension

Teng Zhang

Let $A$ be an $n \times n$ real Toeplitz matrix satisfying $A + A^{⊤} = 2 J_{n}$ , where $J_{n}$ is the all-ones matrix.If $A_{r} (i, j)$ denotes the $r \times r$ contiguous sub…

math.FA2026

Schur--Horn type inequalities for hyperbolic polynomials

Teng Zhang

We establish a Schur--Horn type inequality for symmetric hyperbolic polynomials. As an immediate consequence, we resolve a conjecture of Nam Q. Le on Hadamard-type inequalities for…

math.FA2025

A new proof of Lee's conjecture on the Frobenius norm via the matrix Cauchy-Schwarz inequality

Teng Zhang

In 2010, Eun-Young Lee conjectured that if $A, B$ are two $n \times n$ complex matrices and $∣ A ∣, ∣ B ∣$ are the absolute values of $A, B$ , respectively, then \[…

math.FA2024

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…