Article ID Journal Published Year Pages File Type
4603405 Linear Algebra and its Applications 2007 6 Pages PDF
Abstract

We investigate the converse of Anderson’s theorem on the range-kernel orthogonality of a derivation. In particular, we show that a pair of bounded linear operators on a Hilbert space satisfies the Fuglede–Putnam theorem relative to the ideal of compact operators if and only if it satisfies Anderson’s inequality relative to the same ideal.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory