ON (p, k )-QUASIPOSINORMAL OPERATORS

  • Lee, Mi-Young (Department of Mathematics, College of Natural Science, Kyungpook National University) ;
  • Lee, Sang-Hun (Department of Mathematics, College of Natural Science, Kyungpook National University)
  • Published : 2005.09.01

Abstract

For a positive integer k and a positive number 0 < p$\le$1, an operator T is said to be (p, k)-quasiposinormal if $T^{{\ast}k}(c^2(T^{\ast}T)P - (TT^{\ast})^P)T^k {\ge} 0$ for some c > o. In this paper we consider a structure for (p, k)-quasiposinormal.

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