Some insights into rank conditions of vector subspaces

We introduce the general notion of a rank on a vector space, which includes both tensor rank and conventional matrix rank, but incorporates other examples as well. Extending this concept, we investigate vector spaces consisting of vectors with a lower bound on their rank. Our main result shows that...

Full description

Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Zoran Z. Petrović, Zoran S. Pucanović, Marko D. Pešović, Miloš A. Kovačević
Format:	Article
Language:	English
Published:	AIMS Press 2024-08-01
Subjects:	rank function subspaces with rank conditions tensor decompositions tensor rank
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.20241152?viewType=HTML