Laplace transformers in norm ideals of compact operators

DOI10.1007/s43037-021-00149-3OpenAlexW3202798560MaRDI QIDQ2232800

Danko R. Jocić, Milan Lazarević, Đorđe Krtinić

Publication date: 8 October 2021

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-021-00149-3

zbMATH Keywords

accretive operatorsnorm inequalitiesQ-normsinner product type transformers\(\mathrm{Q}^*\)-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) Commutators, derivations, elementary operators, etc. (47B47) Linear accretive operators, dissipative operators, etc. (47B44) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (3)

Cauchy–Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications ⋮ Norm inequalities for hypercontractive quasinormal operators and related higher order Sylvester-Stein equations in ideals of compact operators ⋮ Norm inequalities for hyperaccretive quasinormal operators, with extensions of the arithmetic-geometric means inequality

Cites Work

• 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 norm inequalities for weak*-integrals of operator valued functions
• Cauchy-Schwarz inequalities for inner product type transformers in \({Q}^*\) norm ideals of compact operators
• Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators
• Cauchy-Schwarz and means inequalities for elementary operators into norm ideals
• The Cauchy-Schwarz Norm Inequality for Elementary Operators in Schatten Ideals
• Landau and Grüss type inequalities for inner product type integral transformers in norm ideals
• Norm inequalities for elementary operators and other inner product type integral transformers with the spectra contained in the unit disc
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