Yuxia Liang

collaborators

4 papers

math.FA2025

Spectra and invariant subspaces of compressed shifts on nearly invariant subspaces

Y. Liang, J. R. Partington

While the spectral properties and invariant subspaces of compressed shifts on model spaces are well understood, their behaviour on nearly $S^{*}$ -invariant subspaces, a natural gener…

math.FA2024

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.FA2024

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.FA2024

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…