The applications of Cauchy-Schwartz inequality for Hilbert modules to elementary operators and I.P.T.I. transformers

DOI10.2298/AADM180123002KzbMath1474.47046arXiv1801.07953OpenAlexW3020437585MaRDI QIDQ4988993

Dragoljub J. Kečkić

Publication date: 20 May 2021

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07953

zbMATH Keywords

elementary operatorunitarily invariant norminner product type transformersCauchy Schwartz inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) (C^*)-modules (46L08) Commutators, derivations, elementary operators, etc. (47B47)

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
• Refinements of inequalities related to Landau-Grüss inequalities for elementary operators acting on ideals associated to \(p\)-modified unitarily invariant norms
• Refinements of operator Cauchy-Schwarz and Minkowski inequalities for \(p\)-modified norms and related norm inequalities
• Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
• A generalization of Grüss's inequality in inner product spaces and applications
• Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
• A Grüss type inequality for vector-valued functions in Hilbert \(C^*\)-modules
• 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
• Linear Operator Equations

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