T. Andô, Katsutoshi Takahashi
Abstract
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We show a polynomially boundend operator T is similar to a unitary operator if there is a singular unitary operator W and an injection X such that XT = WX. If, in addition, T is of class $C_ϱ$, then T itself is unitary.
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We show a polynomially boundend operator T is similar to a unitary operator if there is a singular unitary operator W and an injection X such that XT = WX. If, in addition, T is of class $C_ϱ$, then T itself is unitary.
Key concepts: Unitary state, Mathematics, Unitary operator, Operator (biology), Pure mathematics, Algebra over a field, Shift operator, Class (philosophy)