K-谱集与黎曼球面圆的交
K-spectral sets and intersections of disks of the Riemann sphere
摘要：
本文证明了：若Riemann球面的两个闭圆X_1和X_2是希尔伯特空间上有界线性算子A的谱集，则交X_1 \cap X_2是A的完备（2+2/ \sqrt{3}）-谱集。当X_1和X_2的交点为环时，这个结果肯定地回答了A. L. Shields（1974）的一个问题。
英文摘要：
We prove that if two closed disks X_1 and X_2 of the Riemann sphere are spectral sets for a bounded linear operator A on a Hilbert space, then the intersection X_1\cap X_2 is a complete (2+2/\sqrt{3})-spectral set for A. When the intersection of X_1 and X_2 is an annulus, this result gives a positive answer to a question of A.L. Shields (1974).
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。
