Chao Zu

most citedA geometric approach to the compressed shift operator on the Hardy space over the bidisk

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.FA2026

Spectral properties of Toeplitz operators with harmonic function symbols on the Bergman space

Puyu Cui, Yufeng Lu, Rongwei Yang +1

This paper investigates the spectral properties of Toeplitz operators on the Bergman space of unit disk. We present an integral representation of $T_{z^{m}}^{*}$ , which establishes a…

math.FA2026

Spectral dynamics for the infinite dihedral group and the lamplighter group

Chao Zu, Yixin Yang, Yufeng Lu

For a tuple $A = (A_{0}, A_{1}, \dots, A_{n})$ of elements in a Banach algebra $B$ , its projective (joint) spectrum $p (A)$ is the collection of $z \in P^{n}$ such that $A(z)…

math.FA2026★ 1 cited

A geometric approach to the compressed shift operator on the Hardy space over the bidisk

Yufeng Lu, Yixin Yang, Chao Zu

This paper studies the compressed shift operator $S_{z}$ on the Hardy space over the bidisk via the geometric approach. We calculate the spectrum and essential spectrum of $S_{z}$ on t…

math.FA2025

Hilbert-Schmidtness of the $M_{θ, φ}$ -type submodules

Chao Zu, Yufeng Lu

Let $θ (z), φ (w)$ be two nonconstant inner functions and $M$ be a submodule in $H^{2} (D^{2})$ . Let $C_{θ, φ}$ denote the composition operator on $H^{2} (D^{2})$ defined by $C…

math.FA2025

Notes on a special order on $Z^{\infty}$

Jiawei Sun, Chao Zu, Yufeng Lu

In 1958, Helson and Lowdenslager extended the theory of analytic functions to a general class of groups with ordered duals. In this context, analytic functions on such a group $G$ …