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A note on rank additivity and range additivity

✍ Scribed by Jerzy K Baksalary; Peter S̆emrl; George P.H Styan

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
388 KB
Volume
237-238
Category
Article
ISSN
0024-3795

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Additive preservers of rank-additivity o
Additive preservers of rank-additivity on matrix spaces
✍ Wai-Leong Chooi; Ming-Huat Lim 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 230 KB

Let F be a field. Let V denote the vector space of all m × n matrices over F or the vector space of all n × n symmetric matrices over F of characteristic not 2 or 3. For each fixed positive integer s 2, let Q s denote the set of all matrix pairs (A, B) in V such that rank(A + B) = rank(A) + rank(B)