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The aim of this note is to study the determinant inequalities for operators in a finite von Neumann algebra. In particular, some determinant inequalities due to Hua, Lin and Zhang are extended to the case of operators in a finite von Neumann algebra.  相似文献   

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The aim of this article is to provide necessary and sufficient conditions for a feasible point to be a weakly ?-efficient solution of a vector optimization problem with cone constraints under generalized convexity notions and a weak constraint qualification. Our results permit to recover earlier established theorems.  相似文献   

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