Ping Zhang, Zhou Li-na
Abstract
It is characterized that additive rank-one preserving surjections on Hermitian matrix spaces H_n(C),given the form of Φ when Φ preserves the invertibility of H~*_n(C),and the form of Φ when Φ preserves the determinant.
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It is characterized that additive rank-one preserving surjections on Hermitian matrix spaces H_n(C),given the form of Φ when Φ preserves the invertibility of H~*_n(C),and the form of Φ when Φ preserves the determinant.
Key concepts: Bijection, injection and surjection, Hermitian matrix, Rank (graph theory), Mathematics, Matrix (chemical analysis), Pure mathematics, Combinatorics, Algebra over a field