Zhang Teng

activity

20102026

most citedRobust recovery of multiple subspaces by geometric l_p minimization

54 citations · 105 across the 27 of their papers we have counts for

collaborators

Showing math.FAShow all

11 papers · 1 filter

math.FA2026

Matrix Triangle Inequalities: Past, Present, and Future

Jean-Christophe Bourin, Teng Zhang

This survey provides a concise overview of matrix triangle inequalities. Classical topics, such as inequalities for unitarily invariant norms, are revisited from a different perspe…

math.FA2026

The $A$ -optimal design problem and the $S$ -matrix conjecture

Teng Zhang

The $S$ -matrix conjecture was formulated by Sloane and Harwit in 1976, motivated by an $A$ -optimal design problem arising in spectroscopy. It states that if $A$ is a nonsingular re…

math.FA2026

Plank theorems, Gaussian probabilistic estimates and Rump's 100 Euro conjecture

Teng Zhang

We prove Rump's 100-euro conjecture by deriving a weighted affine escape theorem from Ball's plank theorem in [Invent. Math. \textbf{104} (1991)]. More precisely, let $\mathbb{K}\i…

math.FA2026

On a conjecture of $λ$ -Aluthge transforms and Hilbert--Schmidt self-commutators

Teng Zhang

Let $A$ be a complex square matrix, and write its polar decomposition as $A = U ∣ A ∣$ . For $0 < λ < 1$ , the $λ$ -Aluthge transform of $A$ is defined by $Δ_{λ} (A) = ∣ A ∣^{λ} U ∣ A ∣^{1 - λ} .$ In 2007…

math.FA2026

On interrelations among different versions of a Heron type mean and commutativity in $C^{*}$ -Algebras

Lajos Molnár, Teng Zhang

The extension of the concept of a mean of positive real numbers to noncommutative settings, e.g., for Hilbert space operators, is a widely studied question. For example, in quantum…

math.FA2026

Weak majorization inequalities for the cubic and quartic coefficients of $e^{(A + B) t}$ versus $e^{A t} e^{B t}$

Teng Zhang

Let $A, B \in H_{n}$ and set $H = A + B$ . For each integer $k \geq 1$ define $Q_{k} := p = 0 \sum k (p k) A^{p} B^{k - p}, R_{k} := ℜ Q_{k} = \frac{Q _{k} + Q _{k}^{*}}{2} .$ Then $H^k=\left.\frac…

math.FA2025

Sharp perturbation bounds on the Frobenius norm of subunitary and positive polar factor

Teng Zhang, Zongben Xu

Leveraging tools from convex analysis and incorporating additional singular value information of matrices, we completely resolve the problem of establishing perturbation bounds for…

math.FA2024

From Clarkson-McCarthy inequality to Ball-Carlen-Lieb inequality

Teng Zhang

In this paper, we give two new generalizations of Clarkson-McCarthy with several operators, which depends on the unitary orbit technique developed by Bourin, Hadamard Three-lines T…

math.FA2024

Clarkson--McCarthy type inequalities, part I: $ℓ_{p}$ -- $ℓ_{p}$ and $ℓ_{q}$ -- $ℓ_{p}$ Schatten $p$ -estimates

Teng Zhang

We characterize the matrices $U = (u_{ij})$ for which the operator square-sum identity $i = 1 \sum m j = 1 \sum n u_{ij} A_{j}^{2} = j = 1 \sum n ∣ A_{j} ∣^{2}$ holds for all Schatten-c…

math.FA2024

Strengthening of Clarkson-McCarthy inequalities with several operators

Teng Zhang

Strengthening of two Clarkson-McCarthy inequalities with several operators is established. These not only confirm a conjecture of the author in [Israel J. Math. 2024], but also imp…

math.FA2024

An improvement and generalization of Rotfel'd type inequalities for sectorial matrices

Nan Fanghong, Teng Zhang

Byusing equivalence conditions for sectorial matrices obtained by Alakhrass and Sababheh in 2020, we improve a Rotfel'd type inequality for sectorial matrices derived by P. Zhang i…

Matrix Triangle Inequalities: Past, Present, and Future

The A-optimal design problem and the S-matrix conjecture

Plank theorems, Gaussian probabilistic estimates and Rump's 100 Euro conjecture

On a conjecture of λ-Aluthge transforms and Hilbert--Schmidt self-commutators

On interrelations among different versions of a Heron type mean and commutativity in C∗-Algebras

Weak majorization inequalities for the cubic and quartic coefficients of e(A+B)t versus eAteBt

Sharp perturbation bounds on the Frobenius norm of subunitary and positive polar factor

From Clarkson-McCarthy inequality to Ball-Carlen-Lieb inequality

Clarkson--McCarthy type inequalities, part I: ℓp​--ℓp​ and ℓq​--ℓp​ Schatten p-estimates

Strengthening of Clarkson-McCarthy inequalities with several operators

An improvement and generalization of Rotfel'd type inequalities for sectorial matrices

The $A$ -optimal design problem and the $S$ -matrix conjecture

On a conjecture of $λ$ -Aluthge transforms and Hilbert--Schmidt self-commutators

On interrelations among different versions of a Heron type mean and commutativity in $C^{*}$ -Algebras

Weak majorization inequalities for the cubic and quartic coefficients of $e^{(A + B) t}$ versus $e^{A t} e^{B t}$

Clarkson--McCarthy type inequalities, part I: $ℓ_{p}$ -- $ℓ_{p}$ and $ℓ_{q}$ -- $ℓ_{p}$ Schatten $p$ -estimates