On NSP constants of a matrix and their linear preservers

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.

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Bibliographic Details
Date:2020
Main Author: Skrzyński, Marcin
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2020
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1138
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Skrzyński, Marcin
author_facet Skrzyński, Marcin
author_sort Skrzyński, Marcin
baseUrl_str
collection OJS
datestamp_date 2020-02-10T19:12:26Z
description 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.
first_indexed 2026-02-08T07:57:35Z
format Article
id admjournalluguniveduua-article-1138
institution Algebra and Discrete Mathematics
language English
last_indexed 2026-02-08T07:57:35Z
publishDate 2020
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-11382020-02-10T19:12:26Z On NSP constants of a matrix and their linear preservers Skrzyński, Marcin Null Space Property, spark of a matrix, linear preserver of a function Primary 15A86; Secondary 15A03, 15A60 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. Lugansk National Taras Shevchenko University 2020-02-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1138 Algebra and Discrete Mathematics; Vol 28, No 2 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1138/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1138/361 Copyright (c) 2020 Algebra and Discrete Mathematics
spellingShingle Null Space Property
spark of a matrix
linear preserver of a function
Primary 15A86; Secondary 15A03
15A60
Skrzyński, Marcin
On NSP constants of a matrix and their linear preservers
title On NSP constants of a matrix and their linear preservers
title_full On NSP constants of a matrix and their linear preservers
title_fullStr On NSP constants of a matrix and their linear preservers
title_full_unstemmed On NSP constants of a matrix and their linear preservers
title_short On NSP constants of a matrix and their linear preservers
title_sort on nsp constants of a matrix and their linear preservers
topic Null Space Property
spark of a matrix
linear preserver of a function
Primary 15A86; Secondary 15A03
15A60
topic_facet Null Space Property
spark of a matrix
linear preserver of a function
Primary 15A86; Secondary 15A03
15A60
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1138
work_keys_str_mv AT skrzynskimarcin onnspconstantsofamatrixandtheirlinearpreservers