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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2003
|
| Subjects: | |
| Online Access: | http://shdl.mmu.edu.my/2554/ http://shdl.mmu.edu.my/2554/1/1817.pdf |
| _version_ | 1848790086638895104 |
|---|---|
| author | Chooi, W |
| author_facet | Chooi, W |
| author_sort | Chooi, W |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:07:01Z |
| format | Article |
| id | mmu-2554 |
| institution | Multimedia University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:07:01Z |
| publishDate | 2003 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-25542014-02-06T02:48:01Z http://shdl.mmu.edu.my/2554/ Adjacency preserving maps on upper triangular matrix algebras Chooi, W QA Mathematics 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. 2003-07 Article NonPeerReviewed text en http://shdl.mmu.edu.my/2554/1/1817.pdf Chooi, W (2003) Adjacency preserving maps on upper triangular matrix algebras. Linear Algebra and its Applications, 367. pp. 105-130. ISSN 00243795 http://dx.doi.org/10.1016/S0024-3795(02)00591-8 doi:10.1016/S0024-3795(02)00591-8 doi:10.1016/S0024-3795(02)00591-8 |
| spellingShingle | QA Mathematics Chooi, W Adjacency preserving maps on upper triangular matrix algebras |
| title | Adjacency preserving maps on upper triangular matrix algebras |
| title_full | Adjacency preserving maps on upper triangular matrix algebras |
| title_fullStr | Adjacency preserving maps on upper triangular matrix algebras |
| title_full_unstemmed | Adjacency preserving maps on upper triangular matrix algebras |
| title_short | Adjacency preserving maps on upper triangular matrix algebras |
| title_sort | adjacency preserving maps on upper triangular matrix algebras |
| topic | QA Mathematics |
| url | http://shdl.mmu.edu.my/2554/ http://shdl.mmu.edu.my/2554/ http://shdl.mmu.edu.my/2554/ http://shdl.mmu.edu.my/2554/1/1817.pdf |