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Additive mappings between Hermitian matrix spaces preserving rank not exceeding one
- Source :
-
Linear Algebra & its Applications . Oct2005, Vol. 408, p259-267. 9p. - Publication Year :
- 2005
-
Abstract
- Abstract: Let K be a field of characteristic not two or three with an automorphism − of order two. Let . We characterize additive mappings T from one F-vector space of Hermitian matrices over K to another that preserve rank less than or equal to one for the following cases: (i) the image of T contains a matrix of rank at least three, (ii) every nonzero endomorphism of F is surjective. [Copyright &y& Elsevier]
- Subjects :
- *MATRICES (Mathematics)
*VECTOR analysis
*LINEAR algebra
*UNIVERSAL algebra
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 408
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 18296228
- Full Text :
- https://doi.org/10.1016/j.laa.2005.06.034