数学物理学报(英文版)

• 论文 • 上一篇    下一篇

POWERS OF AN INVERTIBLE (s,p)-w-HYPONORMAL OPERATOR

李海英   

  1. 武汉大学数学与统计学院, 武汉 430072 河南师范大学数学与信息学院, 新乡 453007
  • 收稿日期:2005-12-14 修回日期:2006-08-28 出版日期:2008-04-20 发布日期:2008-04-20
  • 通讯作者: 李海英
  • 基金资助:

    Supported by Science Foundation of Ministry of Education of China

POWERS OF AN INVERTIBLE (s,p)-w-HYPONORMAL OPERATOR

Li Haiying   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
    College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • Received:2005-12-14 Revised:2006-08-28 Online:2008-04-20 Published:2008-04-20
  • Contact: Li Haiying

摘要:

It is known that the square of a w-hyponormal operator is also w-hyponormal. For any 00, 0characterization of (s,p)-w-hyponormal operators; the author shows that all
integer powers of special (s,p)-w-hyponormal operators are (s,p)-w-hyponormal.

关键词: Furuta inequality, Lowner-Heinz inequality, p-w-hyponormal, (s,p)-w-hyponormal

Abstract:

It is known that the square of a w-hyponormal operator is also w-hyponormal. For any 00, 0characterization of (s,p)-w-hyponormal operators; the author shows that all
integer powers of special (s,p)-w-hyponormal operators are (s,p)-w-hyponormal.

Key words: Furuta inequality, Lowner-Heinz inequality, p-w-hyponormal, (s,p)-w-hyponormal

中图分类号: 

  • 47B20