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Lattice orders on 2 × 2 triangular matrix algebras

✍ Scribed by Jingjing Ma


Publisher
Springer
Year
2009
Tongue
English
Weight
220 KB
Volume
62
Category
Article
ISSN
0002-5240

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✍ Wai-Leong Chooi; Ming-Huat Lim 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 206 KB

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.