Volume no :8, Issue no: 2, April 2011

Journal of Mathematical Sciences: Advances and Applications

ON OPERATORS WHOSE SQUARES ARE 2-NORMAL

Author's: Adnan A. S. Jibril
Pages: [61] - [72]
Received Date: April 12, 2011
Submitted by:

Abstract

In this paper, we introduce the new class (SN) of operators acting on a Hilbert space H. In (SN), the square of each operator is 2-normal. We study some basic properties of operators in (SN). We study the relation between the class (SN) and some other classes of operators acting on H.

Keywords

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