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The Structure of linear preservers of left matrix majorization on R^T

The Structure of linear preservers of left matrix majorization on R^T

For vectors X, Y ∈ R n , Y is said to be left matrix majorized by X (Y ≺ X) if for some row stochastic matrix R, Y = RX.A linear operator T : R p → R n is said to be a linear preserver of ≺ if …