On NSP constants of a matrix and their linear preservers
Algebra and discrete mathematics, Tome 28 (2019) no. 2, pp. 278-290
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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.
@article{ADM_2019_28_2_a10,
author = {Marcin Skrzy\'nski},
title = {On {NSP} constants of a matrix and their linear preservers},
journal = {Algebra and discrete mathematics},
pages = {278--290},
publisher = {mathdoc},
volume = {28},
number = {2},
year = {2019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2019_28_2_a10/}
}
Marcin Skrzyński. On NSP constants of a matrix and their linear preservers. Algebra and discrete mathematics, Tome 28 (2019) no. 2, pp. 278-290. http://geodesic.mathdoc.fr/item/ADM_2019_28_2_a10/