Non-wandering Operator in Bargmann Space
نویسندگان
چکیده
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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