Fock空间上的乘法算子  

Multiplication Operators on the Fock Space

作　　者：吴焕春[1] 

机构地区：[1]唐山学院基础部,河北唐山063000

出　　处：《数学的实践与认识》2008年第23期198-201,共4页Mathematics in Practice and Theory

摘　　要：Fock空间是由整函数组成的具有再生核的Hilbert空间.Fock空间上的乘法算子的定义域不是整个Fock空间,它在Fock空间上是稠定的.研究了Fock空间上的乘法算子的性质,对其值域进行了刻画,并得出了乘法算子作用在Fock空间的拟不变子空间上值域余一维的充要条件.Fock space is a reproducing Hilbert space which consists of entire functions. Multiplication operators are densely defined on the Fock space, not on whole space. This paper studies multiplication operators on the Fock space, we character the range of multiplication operators and obtain a necessary and sufficient condition for multiplication operators on quasiinvariant subspaces to be codimension one.

关 键 词：FOCK空间 乘法算子 拟不变子空间 

分 类 号：O177[理学—数学]