Article ID Journal Published Year Pages File Type
4603727 Linear Algebra and its Applications 2007 6 Pages PDF
Abstract

In this paper we characterize operator order A⩾B⩾O and chaotic operator order log A⩾logB for positive and invertible operators A and B in terms of operator inequalities via the Furuta inequality and operator equalities due to the Douglas’s majorization and factorization. Related results are obtained, which include generalizations and characterizations of some well-known results.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory