Norms of Truncated Toeplitz Operators and Numerical Radii of Restricted Shifts
Norms of Truncated Toeplitz Operators and Numerical Radii of Restricted Shifts
复制标题
截断托普利茨算子的范数与限制平移的数值半径
DOI：
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发表时间：
2017
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通讯作者：
J. Partington
中科院分区：
文献类型：
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作者：
P. Gorkin;J. Partington
本文将限制移位算子的数值半径与截断Toeplitz算子（TTO）的范数联系起来，给出了一种计算限制移位算子数值半径的新方法。进一步的结果的范数的TTO推导，并解决了一个猜想的存在连续符号的紧凑TTO。
This paper gives a new approach to the calculation of the numerical radius of a restricted shift operator by linking it to the norm of a truncated Toeplitz operator (TTO), which can be calculated by various methods. Further results on the norm of a TTO are derived, and a conjecture on the existence of continuous symbols for compact TTO is resolved.