多重圆盘上的Toeplitz代数

Toeplitiz Algebra on the Polydisk

本文研究了H^2(T^n)上由符号为本性有界可测函数的Toeplitz算子生成的C~*-代数的结构,并得到了这样的Toeplitz算子的一些谱性质.

In this paper, we study the structure of the C* -algebra generated by Toeplitz operators on H2(Tn) with symbols being essentially bounded measurable functions. We get some results about the spectra of such Toeplitz operators.