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Abstract
We prove that a norm on Cnin monotonic iff it is strictly homogeneous and orthant-monotonic The monotonicity of composite norms is discussed and a large class of norms on Cnis given which are
strictly homogeneous and ∗orthant-monotonic but are not monotonic.
∗Dedicated to Professor Henryk Minc on the occasion of his retirement.
∗∗Work supported by Instituto Nacional de Investigaeo Cientifica and Junta Nacional de Investigação Científica e Technológica.
∗Dedicated to Professor Henryk Minc on the occasion of his retirement.
∗∗Work supported by Instituto Nacional de Investigaeo Cientifica and Junta Nacional de Investigação Científica e Technológica.
Notes
∗Dedicated to Professor Henryk Minc on the occasion of his retirement.
∗∗Work supported by Instituto Nacional de Investigaeo Cientifica and Junta Nacional de Investigação Científica e Technológica.