Adjacency preserving maps on upper triangular matrix algebras

Chooi, W (2003) Adjacency preserving maps on upper triangular matrix algebras. Linear Algebra and its Applications, 367. pp. 105-130. ISSN 00243795

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Official URL: http://dx.doi.org/10.1016/S0024-3795(02)00591-8

Abstract

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 preserving the adjacency in one direction only. (C) 2003 Elsevier Science Inc. All rights reserved.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering (FOE)
Depositing User: Ms Rosnani Abd Wahab
Date Deposited: 22 Aug 2011 06:42
Last Modified: 06 Feb 2014 02:48
URI: http://shdl.mmu.edu.my/id/eprint/2554

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