Some insights into rank conditions of vector subspaces

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...

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Detalhes bibliográficos
Principais autores: Zoran Z. Petrović, Zoran S. Pucanović, Marko D. Pešović, Miloš A. Kovačević
Formato: Artigo
Idioma:English
Publicado em: AIMS Press 2024-08-01
coleção:AIMS Mathematics
Assuntos:
rank function
subspaces with rank conditions
tensor decompositions
tensor rank
Acesso em linha:https://www.aimspress.com/article/doi/10.3934/math.20241152?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20241152?viewType=HTML

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