Cubic Idempotence Preserver Problem in Hermitian Matrix Space
Preserver problems are the study of preserving maps of certain invariants on a given mathematical structure. In order to preserve the cubic idempotent of Hermitian matrix space, we study the image from the basis of 2 × 2-dimensional Hermitian matrix space to m × m-dimensional Hermitian matrix space,...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2024-10-01
|
| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2374 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849415835165130752 |
|---|---|
| author | ZHANG Haoran XU Jinli |
| author_facet | ZHANG Haoran XU Jinli |
| author_sort | ZHANG Haoran |
| collection | DOAJ |
| description | Preserver problems are the study of preserving maps of certain invariants on a given mathematical structure. In order to preserve the cubic idempotent of Hermitian matrix space, we study the image from the basis of 2 × 2-dimensional Hermitian matrix space to m × m-dimensional Hermitian matrix space, and give the representation of the real linear mapping from low-dimensional to high-dimensional Hermitian matrix space. |
| format | Article |
| id | doaj-art-69155bfa8e7e4b9089454bc5117dffcc |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2024-10-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-69155bfa8e7e4b9089454bc5117dffcc2025-08-20T03:33:22ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832024-10-01290512113110.15938/j.jhust.2024.05.014Cubic Idempotence Preserver Problem in Hermitian Matrix SpaceZHANG Haoran0XU Jinli1School of Science, Northeast Forestry University, Harbin 150080 , ChinaSchool of Science, Northeast Forestry University, Harbin 150080 , ChinaPreserver problems are the study of preserving maps of certain invariants on a given mathematical structure. In order to preserve the cubic idempotent of Hermitian matrix space, we study the image from the basis of 2 × 2-dimensional Hermitian matrix space to m × m-dimensional Hermitian matrix space, and give the representation of the real linear mapping from low-dimensional to high-dimensional Hermitian matrix space.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2374preserver problemsinvariantshermitian matrixcubic idempotentlinear mappin |
| spellingShingle | ZHANG Haoran XU Jinli Cubic Idempotence Preserver Problem in Hermitian Matrix Space Journal of Harbin University of Science and Technology preserver problems invariants hermitian matrix cubic idempotent linear mappin |
| title | Cubic Idempotence Preserver Problem in Hermitian Matrix Space |
| title_full | Cubic Idempotence Preserver Problem in Hermitian Matrix Space |
| title_fullStr | Cubic Idempotence Preserver Problem in Hermitian Matrix Space |
| title_full_unstemmed | Cubic Idempotence Preserver Problem in Hermitian Matrix Space |
| title_short | Cubic Idempotence Preserver Problem in Hermitian Matrix Space |
| title_sort | cubic idempotence preserver problem in hermitian matrix space |
| topic | preserver problems invariants hermitian matrix cubic idempotent linear mappin |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2374 |
| work_keys_str_mv | AT zhanghaoran cubicidempotencepreserverprobleminhermitianmatrixspace AT xujinli cubicidempotencepreserverprobleminhermitianmatrixspace |