Rank one perturbations of 2-isometries

Fuente: arXiv
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Main Author: Nailwal, Rajkamal
Format: Preprint
Published: 2025
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author Nailwal, Rajkamal
author_facet Nailwal, Rajkamal
contents In this paper, we investigate when a rank-one perturbation of a $2$-isometry remains a $2$-isometry. As an application, we identify several classes of $2$-isometries on function spaces.
format Preprint
id arxiv_https___arxiv_org_abs_2508_09701
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Rank one perturbations of 2-isometries
Nailwal, Rajkamal
Functional Analysis
47B02, 47B38
In this paper, we investigate when a rank-one perturbation of a $2$-isometry remains a $2$-isometry. As an application, we identify several classes of $2$-isometries on function spaces.
title Rank one perturbations of 2-isometries
topic Functional Analysis
47B02, 47B38
url https://arxiv.org/abs/2508.09701