关于算子方程U^＊nT=λT的解

On the Operation Equation U~*~nT=λT

关于渐近Toeplitz算子,目前对其结构和性质的研究尚有许多不明之处。本文用Hardy空间上的再生核方法得出了一类与其理论密切相关的算子方程的解,这对进一步研究Toeplitz算子理论具有重要意义。

At present,there is something still unknown about the structure and property of the asyptotic toeplitz operator.This paper discusses the solution to a class of operator equation by using the reproducing kernel method of the Hardy Spaces.The result obtained is helpful for further study of the theory of toeplitz operator.