Norm inequalities for elementary operators and other inner product type integral transformers with the spectra contained in the unit disc

DOI10.2298/FIL1702197JzbMath1483.47074OpenAlexW2220145212MaRDI QIDQ5005466

Stefan Milošević, Danko R. Jocić, Vladimir Đurić

Publication date: 10 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1702197j

zbMATH Keywords

shift operatornorm inequalitieselementary operatorsQ-normsinner product type integral transformersspectral radius defect operator

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) Spectrum, resolvent (47A10) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (10)

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 ⋮ Corrigendum to: ``Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮ 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 ⋮ Cauchy-Schwarz inequalities for inner product type transformers in \({Q}^*\) norm ideals of compact operators ⋮ A class of norm inequalities for operator monotone functions and hyponormal operators ⋮ Laplace transformers in norm ideals of compact operators ⋮ Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮ The applications of Cauchy-Schwartz inequality for Hilbert modules to elementary operators and I.P.T.I. transformers ⋮ Cauchy-Schwarz norm inequalities for elementary operators and inner product type transformers generated by families of subnormal operators

Cites Work

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• Positive definiteness of functions with applications to operator norm inequalities
• Landau and Grüss type inequalities for inner product type integral transformers in norm ideals

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