Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON PROPERTIES OF QUASI-CLASS A OPERATORS

  • Lee, Jae Won (Department of Applied Mathematics Kumoh National Institute of Technology) ;
  • Jeon, In Ho (Department of Mathematics Education Seoul National University of Education)
  • Received : 2008.07.15
  • Published : 2008.09.30
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Abstract

Let the set of all quasi-class A operators for which $ker(A){\subseteq}ker(A^*)$ be denoted by $A{\in}{\mathcal{Q}}A^*$. In this paper it is proved that an operator $T{\in}{\mathcal{Q}}A^*$ is normal if and only if the Duggal transform of T is normal.

Keywords

Acknowledgement

Supported by : Kumoh National Institute of Technology