On NSP constants of a matrix and their linear preservers

• Date: 2020
• Main Author: Skrzyński, Marcin
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: Null Space Property; spark of a matrix; linear preserver of a function; Primary 15A86; Secondary 15A03; 15A60
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1138
• Journal Title: Algebra and Discrete Mathematics

We collect some basic properties of NSP constants of a matrix, discuss an additive behavior of the spark, and prove two theorems characterizing linear endomorphisms which preserve the NSP constants.