Contractive maps on operator ideals and norm inequalities

DOI10.1016/j.laa.2014.06.055zbMath1309.47059OpenAlexW2062965651MaRDI QIDQ401211

Mandeep Singh, Yogesh Kapil

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.06.055

zbMATH Keywords

norm inequalityoperator algebraunitarily invariant normoperator mean

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (8)

Norm inequalities related to the Heinz means ⋮ Norm inequalities related to Heinz and logarithmic means ⋮ Contractive maps on operator ideals and norm inequalities. II ⋮ Norm inequalities related to the Heron and Heinz means ⋮ Contractive maps on operator ideals and norm inequalities. III. ⋮ Refined Heinz operator inequalities and norm inequalities ⋮ Norm inequalities for Heinz and Heron means via contractive maps ⋮ Extensions of the arithmetic–geometric means and Young's norm inequalities to accretive operators, with applications

Cites Work

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• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
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• Positive Definite Functions and Operator Inequalities
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• Sharp Inequalities for Some Operator Means

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