Volume no :14, Issue no: 1, March 2012

ON PRENORMAL OPERATORS

Author's: ADNAN A. A. JIBRIL
Pages: [51] - [62]
Received Date: March 18, 2012
Submitted by:

Abstract

In this paper, we introduce the class of prenormal operators acting on a complex Hilbert space H. We study some basic properties of such operators. We study the relation between the class of all prenormal operators and some other classes of operators acting on H.

Keywords

operator, normal, adjoint, isometry, partial isometry, idempotent, skew-normal.