Norm inequalities for elementary operators related to contractions and operators with spectra contained in the unit disk in norm ideals

DOI10.22034/AOT.1609.1019zbMath1355.47006OpenAlexW2584880098MaRDI QIDQ502278

Publication date: 3 January 2017

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://www.aot-math.org/article_40568_80909d5da8d38287a7b51d25a9389283.pdf

zbMATH Keywords

norm inequality elementary operator \(Q\)-norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Commutators, derivations, elementary operators, etc. (47B47) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (5)

Some inequalities related to p-Schatten norm ⋮ Norm inequalities for a class of elementary operators generated by analytic functions with non-negative Taylor coefficients in ideals of compact operators related to \(p\)-modified unitarily invariant norms ⋮ Norm inequalities for hypercontractive quasinormal operators and related higher order Sylvester-Stein equations in ideals of compact operators ⋮ Versions of inequalities related to \(p\)-Schatten norm ⋮ The applications of Cauchy-Schwartz inequality for Hilbert modules to elementary operators and I.P.T.I. transformers

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