Nearly invariant subspaces in the real Hardy space

Fuente: arXiv
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Autori principali: Khan, Arshad, Lata, Sneh, Singh, Dinesh
Natura: Preprint
Pubblicazione: 2026
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author Khan, Arshad
Lata, Sneh
Singh, Dinesh
author_facet Khan, Arshad
Lata, Sneh
Singh, Dinesh
contents 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 finite defect, and as a consequence, provide a characterization for almost invariant subspaces of the backward shift operator.
format Preprint
id arxiv_https___arxiv_org_abs_2604_10240
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Nearly invariant subspaces in the real Hardy space
Khan, Arshad
Lata, Sneh
Singh, Dinesh
Functional Analysis
Primary 47B02, Secondary 47B38, 30H10
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 finite defect, and as a consequence, provide a characterization for almost invariant subspaces of the backward shift operator.
title Nearly invariant subspaces in the real Hardy space
topic Functional Analysis
Primary 47B02, Secondary 47B38, 30H10
url https://arxiv.org/abs/2604.10240