数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 93-101.doi: 10.1016/S0252-9602(11)60211-7

• 论文 • 上一篇    下一篇

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

杨长森|丁艳风   

  1. College of Mathematics and Information Science, Henan Normal |University, Xinxiang 453007, China
  • 收稿日期:2007-09-30 修回日期:2009-05-09 出版日期:2011-01-20 发布日期:2011-01-20
  • 基金资助:

    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)

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)

摘要:

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(*).

关键词: Class A operator, hyponormal, p-hyponormal, polar decomposition, numerical radius

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

中图分类号: 

  • 47A63