JOINT WEAK SUBNORMALITY OF OPERATORS

  • Lee, Jun Ik (Department of Mathematics Education Sangmyung University) ;
  • Lee, Sang Hoon (Department of Mathematics Chungnam National University)
  • Received : 2008.05.07
  • Accepted : 2008.05.23
  • Published : 2008.06.30

Abstract

We introduce jointly weak subnormal operators. It is shown that if $T=(T_1,T_2)$ is subnormal then T is weakly subnormal and if f $T=(T_1,T_2)$ is weakly subnormal then T is hyponormal. We discuss the flatness of weak subnormal operators.

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