Adjacency preserving maps on upper triangular matrix algebras

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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Bibliographic Details
Main Author: Chooi, W
Format: Article
Language:English
Published: 2003
Subjects:
QA Mathematics
Online Access:http://shdl.mmu.edu.my/2554/
http://shdl.mmu.edu.my/2554/1/1817.pdf

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