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math.FA2026
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…
math.FA2026
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…