论文标题
Toeplitz代数的基本换向因素和特征
Essential Commutants and Characterizations of the Toeplitz Algebra
论文作者
论文摘要
在本文中，我们研究了Toeplitz代数，该代数是由toeplitz运算符在Fock空间上$ f^p_α$上产生的。我们表明，Toeplitz代数与分别由频段主导，足够局部和弱局部运算符产生的代数相吻合。此外，我们确定其必不可少的交通便利及其基本双方。对于$ P = 2 $，这些结果最近由Xia获得。但是，Xia的想法主要与Hilbert Space理论和不适用于$ p \ neq 2 $的方法有关。相反，我们使用Fulsche的最新结果来概括Xia的定理。
In this paper we study the Toeplitz algebra, which is generated by Toeplitz operators with bounded symbols on the Fock space $F^p_α$. We show that the Toeplitz algebra coincides with each of the algebras generated by band-dominated, sufficiently localized and weakly localized operators, respectively. Moreover, we determine its essential commutant and its essential bicommutant. For $p = 2$ these results were obtained recently by Xia. However, Xia's ideas are mostly connected to Hilbert space theory and methods which are not applicable for $p \neq 2$. Instead, we use a recent result of Fulsche to generalize Xia's theorems.
