Fock空间上的一类加权复合算子

A Class of Weighted Composition Operators on the Fock Space

中文关键词:  Fock空间  加权复合算子  自伴  复对称  谱

英文关键词:Fock space  weighted composition operator  self-adjoint  complex symmetric  spectrum

中文摘要:

      本文研究了Fock空间上一类加权复合算子的有界性及其谱. 作为应用,给出了Fock空间上有界自伴的和一类复对称的加权复合算子的完全刻画.

英文摘要:

      This paper studies a class of weighted composition operators and their spectrum on the Fock space. As an application, bounded self-adjoint, a class of complex symmetric weighted composition operators on the Fock space are characterized.