• Journal of the Korean Mathematical Society
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• v.32 no.4
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• pp.857-867
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• 1995

Throughout this paper, let $M_{mn}(R)$ be the set of all $m \times n$ real matrices, and let $R^n$ the set of all real row vectors with n components.

• Bulletin of the Korean Mathematical Society
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• v.39 no.2
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• pp.283-287
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• 2002

In this paper, we will investigate the set of linear operators on real square matrices that strongly preserve multivariate majorisation without any additional conditions on the operator. This answers earlier conjecture on nonnegative matrices in [3] .