初等算子范数的几个公式
Some Formulae for Norms of Elementary Operators
摘要：
本文给出了一个C* 代数上初等算子的范数公式，这似乎是一个新的公式。该公式包含了矩阵的数值域和一种几何平均，即迹几何平均，它具有一些有趣的性质，以前似乎没有研究过。此外，我们还讨论了初等算子的紧性。
英文摘要：
We present a formula for the norm of an elementary operator on a C*-algebra that seems to be new. The formula involves (matrix) numerical ranges and a kind of geometrical mean for positive matrices, the tracial geometric mean, which seems not to have been studied previously and has interesting properties. In addition, we characterise compactness of elementary operators.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
