In this article we classify rank-one nonincreasing maps ψ on n-square block triangular matrix algebras with the assumption that ψ(I n ) is of rank n. As applications, we obtain complete classifications of adjugate-commuting maps, and compound-commuting maps on block triangular matrix algebras.
✦ LIBER ✦
Some general techniques on linear preserver problems
✍ Scribed by Alexander Guterman; Chi-Kwong Li; Peter Šemrl
- Book ID
- 108360535
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 167 KB
- Volume
- 315
- Category
- Article
- ISSN
- 0024-3795
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