Adjacency preserving maps on upper triangular matrix algebras
Let n be an integer, n greater than or equal to 3, and T-n the algebra of all real n x n upper triangular matrices. We describe the general form of maps on T-n that preserve the adjacency in both directions. We apply this result to characterize the semigroup of injective continuous maps on T-n prese...
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| Format: | Article |
| Language: | English |
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2003
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| Online Access: | http://shdl.mmu.edu.my/2554/ http://shdl.mmu.edu.my/2554/1/1817.pdf |