论文标题
在非反射的Fock空间上的Toeplitz操作员
Toeplitz operators on non-reflexive Fock spaces
论文作者
论文摘要
我们将几个结果概括为Toeplitz运营商，而不是反身，标准加权的Fock空间$ f_t^p $ to非反射案例$ p = 1，\ infty $。这些结果包括紧凑性的表征和此类操作员的弗雷德霍尔姆（Fredholm）性质，这是Toeplitz代数的众所周知的表示，这是Toeplitz代数基本中心的表征。此外，我们改善了与对应理论相关的几个结果，例如我们改善了代数对应关系的先前结果，并给出了众所周知的Berger-Coburn估计值的对应理论。
We generalize several results on Toeplitz operators over reflexive, standard weighted Fock spaces $F_t^p$ to the non-reflexive cases $p = 1, \infty$. Among these results are the characterization of compactness and the Fredholm property of such operators, a well-known representation of the Toeplitz algebra, a characterization of the essential centre of the Toeplitz algebra. Further, we improve several results related to correspondence theory, e.g. we improve previous results on the correspondence of algebras and we give a correspondence theoretic version of the well-known Berger-Coburn estimates.
