Abstract
We classify linear preservers of the Grassmannian for matrices over non-negative integers, namely, linear operators that preserve the set of triples of matrices from script M signn(Z+) satisfying the conditionXYZ+ZYX=YXZ+ZXY
Original language | English |
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Pages (from-to) | 39-46 |
Number of pages | 8 |
Journal | Linear Algebra and Its Applications |
Volume | 393 |
Issue number | 1-3 |
DOIs | |
State | Published - 1 Dec 2004 |
Externally published | Yes |
Bibliographical note
Funding Information:The work of the first and the fourth authors was partially supported by Korea Research Foundation Grant KRF-2002-042-C00001, the work of the second and the third author was partially supported by Com2MaC-KOSEF and Korea Research Foundation Grant KRF-2000-015-DP0005. The second author was also partially supported by the Russian Foundation for Basic Researches. ∗ Corresponding author. E-mail addresses: [email protected] (L.B. Beasley), [email protected] (A.E. Gu-terman), [email protected] (S.-G. Lee), [email protected] (S.-Z. Song).
Keywords
- Grassmannian
- Linear preservers