算子系统性质的矩阵范围刻画

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2019-12-13 DOI:10.7900/jot.2019dec16.2278

Benjamin W. Passer, V. Paulsen

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引用次数: 5

摘要

对于有限维算子系统ST, T∈B(H)d，我们证明了ST的局部提升性和1-精确性可以通过测量矩阵范围W(T)与最小/最大矩阵凸集在其各个水平上的差值来表征。然后我们从自由谱面、算子系统的直接和和矩阵凸集的积的角度来检验这些概念。

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Matrix range characterizations of operator system properties

For finite-dimensional operator systems ST, T∈B(H)d, we show that the local lifting property and 1-exactness of ST may be characterized by measurements of the disparity between the matrix range W(T) and the minimal/maximal matrix convex sets over its individual levels. We then examine these concepts from the point of view of free spectrahedra, direct sums of operator systems, and products of matrix convex sets.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.