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

作者：Yang Changsen^*; Ding Yanfeng

来源：Acta Mathematica Scientia, 2011, 31(1): 93-101.

• Class A operator
• hyponormal
• p-hyponormal
• polar decomposition
• numerical radius

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) over cap defined by M. Cho and T. Yamazaki. Then, we show that sigma(T) = sigma(T) over cap(*)) and sigma(alpha)((T) over cap)((*))/{0}, in case T belongs to class A. Next, we obtain some relations between (T) over cap and (T) over cap ((*))(*).

• 出版日期2011-1
• 单位河南师范大学