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arXiv · 2507.05721

Perturbations of Toeplitz operators on vector-valued Hardy spaces

Arshad Khan·Sneh Lata·Dinesh Singh
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Abstract

In this article, we completely classify invariant subspaces of finite-rank perturbations of a class of Toeplitz operators on vector-valued Hardy spaces. As a consequence, in the vector-valued setting, we characterize invariant and almost invariant subspaces of a class of Toeplitz operators, as well as nearly invariant subspaces associated with certain Blaschke-based operators. We further treat the finite defect case for these nearly invariant subspaces.

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Arshad Khan, Sneh Lata, Dinesh Singh. 2025-07-08. Perturbations of Toeplitz operators on vector-valued Hardy spaces. https://arxiv.org/abs/2507.05721

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