RESEARCH ARTICLE

On NSP constants of a matrix and their linear preservers

Marcin Skrzyński

Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland

Abstract: 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.

Keywords: Null Space Property, spark of a matrix, linear preserver of a function.

MSC: Primary 15A86; Secondary 15A03, 15A60

Received: 09.05.2018

Language: English