4 papers
Perturbations of Truncated Toeplitz operators
Arup Chattopadhyay, Arshad Khan
We investigate the structure of kernels of finite-rank perturbations of truncated Toeplitz operators. By realizing a perturbed truncated Toeplitz operator on a model space as a sui…
Nearly invariant subspaces in the real Hardy space
Arshad Khan, Sneh Lata, Dinesh Singh
The objective of this article is to study nearly invariant subspaces of the backward shift operator on the real Hardy space. We also investigate nearly invariant subspaces with fin…
Perturbations of Toeplitz operators on vector-valued Hardy spaces
Arshad Khan, Sneh Lata, Dinesh Singh
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 ve…
Nearly invariant brangesian subspaces
Arshad Khan, Sneh Lata, Dinesh Singh
This article describes Hilbert spaces contractively contained in certain reproducing kernel Hilbert spaces of analytic functions on the open unit disc which are nearly invariant un…