Rank one perturbations of 2-isometries

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-13
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
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article

Rank one perturbations of 2-isometries

ArXiv.org
Advanced Banach Space Theory
article

Rank one perturbations of 2-isometries

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Abstract

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.

ArXiv.org
Openalex Percentile: Top 44%
Advanced Banach Space Theory
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Rank one perturbations of 2-isometries · ArXiv.org (2025) | TGRS Research Map | TGRS