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Some preserver problems on algebras of smooth functions

✍ Scribed by Félix Cabello Sánchez; Javier Cabello Sánchez


Book ID
107382435
Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
449 KB
Volume
48
Category
Article
ISSN
0004-2080

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Some linear preserver problems on block
✍ 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.