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https://doi.org/10.1016/S0024-3795(02)00739-5
| Title: | On determinant preserver problems | Authors: | Tan, V. Wang, F. |
Keywords: | Determinant Preserver Triangular matrices |
Issue Date: | 1-Aug-2003 | Citation: | Tan, V., Wang, F. (2003-08-01). On determinant preserver problems. Linear Algebra and Its Applications 369 (SUPP.) : 311-317. ScholarBank@NUS Repository. https://doi.org/10.1016/S0024-3795(02)00739-5 | Abstract: | Let Mn and Tn be the vector spaces of n×n matrices and upper triangular matrices over a field F (with some cardinality and characteristic restrictions) respectively. We characterise transformations φ on these two spaces separately which satisfy one of the following conditions: det(A+λB)=det(φ(A)+λφ(B)) for all A, B and λ. φ is surjective and det(A+λB)=det(φ(A)+λφ(B)) for all A, B and two specific λ. φ is additive and preserves determinant. © 2003 Elsevier Science Inc. All rights reserved. | Source Title: | Linear Algebra and Its Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/103699 | ISSN: | 00243795 | DOI: | 10.1016/S0024-3795(02)00739-5 |
| Appears in Collections: | Staff Publications |
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