APPLICATION OF TWO OPERATORS TRANSFORM FROM CLASS A OPERATOR TO THE CLASS OF HYPONORMAL OPERATOR |
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| Authors: | Yang Changsen Ding Yanfeng |
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| Institution: | Yang Changsen Ding Yanfeng College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China |
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| Abstract: | In this article, we give an operator transform  (*) from class A operator to the class of hyponormal operators. It is different from the operator transform defined by M. Chō and T. Yamazaki. Then, we show that σ(T)=σ((*)){0} and σa()(*))\{0}, in case T belongs to class A. Next, we obtain some relations between and (*). |
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| Keywords: | Class A operator hyponormal p-hyponormal polar decomposition numerical radius |
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