Yuxia Liang

collaborators

3 papers

math.FA2026

Invariance and near invariance for non-cyclic shift semigroups

Yuxia Liang, Jonathan R. Partington

We characterise the subspaces of $H^{2} (D)$ that are invariant under the semigroups generated by two higher-order shifts $S^{m}$ and $S^{n}$ . Complete descriptions are obtaine…

math.FA2025

Composition operators between Toeplitz kernels

Yuxia Liang, Jonathan R. Partington

Recently, it was shown that the image of a Toeplitz kernel of dimension greater than $1$ under composition by an inner function is nearly $S^{*}$ -invariant if and only if the inner f…

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…