Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (1): 93-101.doi: 10.1016/S0252-9602(11)60211-7

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

 YANG Chang-Sen, DING Yan-Feng   

  1. College of Mathematics and Information Science, Henan Normal |University, Xinxiang 453007, China
  • Received:2007-09-30 Revised:2009-05-09 Online:2011-01-20 Published:2011-01-20
  • Supported by:

    The research was supported by Science Foundation of Ministry of Education of China (208081), Technology and pioneering project in Henan Provice (102300410012), and Education Foundation of  Henan Province (2007110016, 2008B110006)

Abstract:

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. Ch\={o} 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(*).

Key words: Class A operator, hyponormal, p-hyponormal, polar decomposition, numerical radius

CLC Number: 

  • 47A63
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