A STUDY ON PROPERTIES OF (NM)- HYPONORMAL OPERATORS

Abstract

This paper looks at the properties of (nm)- hyponormal operators. We show that for an operator A that is (nm)- hyponormal, and it is equivalent under an isometry to an operator B, then B is also (nm) hyponormal. Additionally, the concept of (nm)-unitary quasiequivalence is introduced, and it is also shown that if an operator A is (nm)- hyponormal, and is (nm)-unitary quasiequivalence to an operator B, then B is also (nm)- hyponormal.