Article ID Journal Published Year Pages File Type
4602389 Linear Algebra and its Applications 2008 11 Pages PDF
Abstract

Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the involved operator satisfies the usual conditions. Several new reverse inequalities for the numerical radius of a bounded linear operator are obtained as well.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory