Article ID Journal Published Year Pages File Type
4602207 Linear Algebra and its Applications 2009 5 Pages PDF
Abstract

In this paper, we study the problem of characterizing the bounded linear operators on a Hilbert space that admit a factorization as a product of two Hermitian operators. It is shown that a normal operator can be decomposed as a product of two Hermitian operators if and only if it is similar to its adjoint. Some partial results about hyponormal operators are obtained.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory