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Linear preservers of extremes of rank inequalities over semirings: Row and column ranks

✍ Scribed by LeRoy B. Beasley; Alexander E. Guterman; Young-Bae Jun; Seok-Zun Song

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
171 KB
Volume
413
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

Linear operators that preserve pairs of
Linear operators that preserve pairs of matrices which satisfy extreme rank properties––a supplementary version
✍ Xian Zhang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 173 KB

A pair of m Γ— n matrices (A, B) is said to be rank-sum-maximal if ρ(A + B) = ρ(A) + ρ(B), and rank-sum-minimal if ρ(A + B) = |ρ(A)ρ(B)|. We characterize the linear operators preserving the set of rank-sum-maximal pairs over any field and the linear operators preserving the set of rank-sum-minimal pa