Invariant subspaces of perturbed backward shift

Autor:	Das, Soma, Sarkar, Jaydeb
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis Mathematics - Complex Variables Mathematics - Operator Algebras 30H10 47A15 47B35 46E22 45E10 81Q15
Druh dokumentu:	Working Paper
Popis:	We represent closed subspaces of the Hardy space that are invariant under finite-rank perturbations of the backward shift. We apply this to classify almost invariant subspaces of the backward shift and represent a more refined version of nearly invariant subspaces. Kernels of certain perturbed Toeplitz operators are examples of the newly introduced nearly invariant subspaces. Comment: 26 pages. revised and corrected
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.17352 Zobrazit plný text záznamu View this record from Arxiv