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...

وصف كامل

التفاصيل البيبلوغرافية
الحاوية / القاعدة:AIMS Mathematics
المؤلفون الرئيسيون: Zoran Z. Petrović, Zoran S. Pucanović, Marko D. Pešović, Miloš A. Kovačević
التنسيق: مقال
اللغة:الإنجليزية
منشور في: AIMS Press 2024-08-01
الموضوعات:
rank function
subspaces with rank conditions
tensor decompositions
tensor rank
الوصول للمادة أونلاين:https://www.aimspress.com/article/doi/10.3934/math.20241152?viewType=HTML

الانترنت

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

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