Surjective Additive Rank-1 Preservers on Hessenberg Matrices
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Published:2019-02-01
Issue:
Volume:35
Page:24-34
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ISSN:1081-3810
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Container-title:The Electronic Journal of Linear Algebra
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language:
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Short-container-title:ELA
Author:
Khachorncharoenkul Prathomjit,Pianskool Sajee
Abstract
Let $H_{n}(\mathbb{F})$ be the space of all $n\times n$ upper Hessenberg matrices over a field~$\mathbb{F}$, where $n$ is a positive integer greater than two. In this paper, surjective additive maps preserving rank-$1$ on $H_{n}(\mathbb{F})$ are characterized.
Publisher
University of Wyoming Libraries
Subject
Algebra and Number Theory