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

DOI10.1016/J.LAA.2017.11.015zbMath1489.47018OpenAlexW2770634702MaRDI QIDQ1688905

Stefan Milošević, Danko R. Jocić, Milan Lazarević

Publication date: 12 January 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.11.015

zbMATH Keywords

norm inequalitieselementary operatorsQ-norms

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) 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) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (13)

Cauchy–Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications ⋮ Perturbation norm inequalities for elementary operators generated by analytic functions with positive Taylor coefficients ⋮ Grüss-Landau inequalities for elementary operators and inner product type transformers in Q and Q* norm ideals of compact operators ⋮ Corrigendum to: ``Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮ Cauchy-Schwarz inequalities for inner product type transformers in \({Q}^*\) norm ideals of compact operators ⋮ Norm inequalities for hypercontractive quasinormal operators and related higher order Sylvester-Stein equations in ideals of compact operators ⋮ A class of norm inequalities for operator monotone functions and hyponormal operators ⋮ Norm inequalities for hyperaccretive quasinormal operators, with extensions of the arithmetic-geometric means inequality ⋮ Laplace transformers in norm ideals of compact operators ⋮ Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮ Noncommutative Schwarz lemma and Pick-Julia theorems for generalized derivations in norm ideals of compact operators ⋮ Extensions of the arithmetic–geometric means and Young's norm inequalities to accretive operators, with applications ⋮ Cauchy-Schwarz norm inequalities for elementary operators and inner product type transformers generated by families of subnormal operators

Cites Work

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• Norm inequalities for elementary operators related to contractions and operators with spectra contained in the unit disk in norm ideals
• Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms
• Refinements of operator Cauchy-Schwarz and Minkowski inequalities for \(p\)-modified norms and related norm inequalities
• Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
• Cauchy-Schwarz and means inequalities for elementary operators into norm ideals
• The Cauchy-Schwarz Norm Inequality for Elementary Operators in Schatten Ideals
• Norm inequalities for elementary operators and other inner product type integral transformers with the spectra contained in the unit disc
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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