APPLICATION OF TWO OPERATORS TRANSFORM FROM CLASS A OPERATOR TO THE CLASS OF HYPONORMAL OPERATOR

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In this article, we give an operator transform (∧T)(*) from class A operator to the class of hyponormal operators. It is different from the operator transform (∧T) defined by M.Chō and T. Yamazaki. Then, we show that σ(T) = σ(∧T)(*)) and σa(T){0} = σa(∧T)(*)){0},in case T belongs to class A. Next, we obtain some relations between (∧T) and (∧T)(*).
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