Non-wandering Operator in Bargmann Space

Minggang Wang, Hua Xu


In this paper the Bargmann space is denoted by F. This space’s roots can be found in mathematical problem of relativistic
physics or in quantum optics. In physics the Bargmann space contains the canonical coherent states, so it is the main
tool for studying the bosonic coherent state theory of radiation field and for other application .This paper deals with the
unilateral backward shift operator T on a Bargmann space F. We provide a sufficient condition for an unbounded operator
to be non-wandering operator, and then apply the condition to give a necessary and sufficient condition in order that T be
a non-wandering operator.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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