Sen Zhu

collaborators

4 papers

math.FA2025

Nearly invariant subspaces and kernels of Toeplitz operators on the Hardy space over the bidisk

Senhua Zhu, Yuxia Liang

In this paper, the analysis of nearly invariant subspaces and kernels of Toeplitz operators on the Hardy space over the bidisk is developed. Firstly, we transcribe Chalendar, Chevr…

math.FA2025

A class of linear operators on Bergman spaces

Zengjian Lou, Antti Rasila, Senhua Zhu

We study the boundedness of the linear operator $S$ on $L_{a}^{p} (d A_{I^} \pm)$ $(0 < p < \infty)$ . In particular, we obtain a sufficient and necessary condition for the compactness of the l…

math.FA2025

Which hyponormal block Toeplitz operators are either normal or analytic?

Senhua Zhu, Yufeng Lu, Chao Zu

In this paper, we continue Curto-Hwang-Lee's work to study the connection between hyponormality and subnormality for block Toeplitz operators acting on the vector-valued Hardy spac…

math.FA2024

$p$ -nuclearity of $L^{p}$ -operator crossed products

Zhen Wang, Sen Zhu

Let $(X, B, I^¼)$ be a measure space and $A$ be a norm closed subalgebra of $B (L^{p} (X, I^¼))$ , where $p \in [1, \infty)$ . Let $(G, A, I^\pm)$ be an $L^{p}$ -operator algebra dy…

Nearly invariant subspaces and kernels of Toeplitz operators on the Hardy space over the bidisk

A class of linear operators on Bergman spaces

Which hyponormal block Toeplitz operators are either normal or analytic?

p-nuclearity of Lp-operator crossed products

$p$ -nuclearity of $L^{p}$ -operator crossed products