Norm Inequalities for Elementary Operators Related to Contractions and Operators with Spectra Contained in the Unit Disk in Norm Ideals

Abstract

Let B(H) and C∞(H) denote respectively spaces of all bounded and all compact linear operators acting on a separable, infinite-dimensional, complex Hilbert space H. Each ”symmetric gauge (s.g.) function” (also known as symmetric norming functions) Φ on sequences gives rise to a symmetric norm or a unitarily invariant (u.i.) norm on operators defined by ||X ||Φ def = Φ({sn(X)}n=1), with s1(X) > s2(X) > · · · being the singular values of X. We will denote by the symbol |||·||| any such norm, which is therefore defined on a naturally associated norm ideal C|||·|||(H) of C∞(H) and satisfies the invariance property |||UXV ||| = |||X ||| for

Cite this paper

@inproceedings{Milosevi2016NormIF, title={Norm Inequalities for Elementary Operators Related to Contractions and Operators with Spectra Contained in the Unit Disk in Norm Ideals}, author={S Milosevi{\'c}}, year={2016} }