| Popis: |
Let $$\mathbb{M}_{n,m}$$ be the set of all n × m real or complex matrices. For A, B ∈ $$\mathbb{M}_{n,m}$$, we say that A is row-sum majorized by B (written as A ≺rsB) if R(A) ≺ R(B), where R(A) is the row sum vector of A and ≺ is the classical majorization on ℝn. In the present paper, the structure of all linear operators $$T : \mathbb{M}_{n,m} \rightarrow \mathbb{M}_{n,m}$$ preserving or strongly preserving row-sum majorization is characterized. Also we consider the concepts of even and circulant majorization on ℝn and then find the linear preservers of row-sum majorization of these relations on $$\mathbb{M}_{n,m}$$. |
