Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (4): 917-924.

• Articles • Previous Articles     Next Articles

A Note on Quasi-{\boldmath k-paranormal Operators

 ZUO Fei, SHEN Jun-Li   

  1. College of Mathematical and Informational Science, Henan Normal University, Henan Xinxiang 453007
  • Received:2012-08-09 Revised:2013-11-29 Online:2014-08-25 Published:2014-08-25
  • Supported by:

    国家自然科学基金 (11201126)、河南师范大学青年基金(2013QK01)和河南省教育厅科学技术研究重点项目(14B110008)资助.

Abstract:

Let T be a bounded linear operator on a complex Hilbert space H.is said to be a quasi-k-paranormal operator if
||Tk+2x||||Tx||k≥||T2x||k+1 for all xH,
where k is a positive integer. Some basic properties of quasi-k-paranormal operators are shown. In particular,  quasi-k-paranormal operator is polaroid, as an application, we obtain that Weyl's theorem  holds for the class of quasi-k-paranormal operators.

Key words: Quasi-k-paranormal operators, Polaroid, Weyl´s theorem

CLC Number: 

  • 47A10
Trendmd