Contractive maps on operator ideals and norm inequalities. III.

DOI10.1016/j.laa.2017.05.024zbMath1370.15019OpenAlexW4207072772MaRDI QIDQ2013194

Yogesh Kapil, Mandeep Singh, Anchal Aggarwal

Publication date: 3 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.05.024

zbMATH Keywords

norm inequalityoperator algebraunitarily invariant normcontractive mapsoperator meansLyapunov operator equations

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) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Positive definiteness and infinite divisibility of certain functions of hyperbolic cosine function ⋮ Extensions of the arithmetic–geometric means and Young's norm inequalities to accretive operators, with applications

Cites Work

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• Contractive maps on operator ideals and norm inequalities. II
• Contractive maps on operator ideals and norm inequalities
• On the convexity of the Heinz means
• Interpolating the arithmetic--geometric mean inequality and its operator version
• Mean matrices and infinite divisibility
• Norm inequalities in operator ideals
• Arithmetic-geometric mean and related inequalities for operators
• Comparison of various means for operators
• Geometric operator inequalities
• Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
• A Cartan-Hadamard theorem for Banach-Finsler manifolds
• A Cauchy-Schwarz inequality for operators with applications
• Further refinements of the Heinz inequality
• On infinite divisibility of positive definite functions arising from operator means
• Inequalities for hadamard product and unitarily invariant norms of matrices
• Positive definiteness of functions with applications to operator norm inequalities
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Cauchy-Schwarz and means inequalities for elementary operators into norm ideals
• Inequalities for Unitarily Invariant Norms
• Positive Definite Functions and Operator Inequalities
• Means for matrices and comparison of their norms
• Sharp Inequalities for Some Operator Means
• Generalized Lyapunov Equations and Positive Definite Functions

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