Some operator inequalities for positive linear maps

DOI10.1080/03081087.2014.880432zbMath1322.47026OpenAlexW1967463281MaRDI QIDQ2938361

Chuanjiang He, Xiaohui Fu

Publication date: 14 January 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.880432

zbMATH Keywords

arithmetic meangeometric meanpositive linear mapsWielandt inequalityKantorovich inequalityoperator inequalities

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63)

Related Items (20)

Further refinements of Young's type inequality for positive linear maps ⋮ On some inequalities with matrix means ⋮ On some general inequalities related to operator AM-GM inequality ⋮ A note on a conjecture about Wielandt’s inequality ⋮ Complementary inequalities to improved AM-GM inequality ⋮ A note on a Wielandt type norm inequality ⋮ A glimpse at the operator Kantorovich inequality ⋮ A note on some inequalities for positive linear maps ⋮ Some operator inequalities involving operator means and positive linear maps ⋮ Refinements of a reversed AM–GM operator inequality ⋮ Some reverse inequalities for positive linear maps of selfadjoint operators ⋮ Some generalizations of operator inequalities for positive linear maps ⋮ New sharp inequalities for operator means ⋮ Improvements of operator reverse AM-GM inequality involving positive linear maps ⋮ Further refinements of reversed AM-GM operator inequalities ⋮ Improved Kantorovich and Wielandt operator inequalities for positive linear maps ⋮ Some operator inequalities for operator means and positive linear maps ⋮ Some inequalities for positive multilinear mappings ⋮ Extension of the Kantorovich inequality for positive multilinear mappings ⋮ Some matrix power and Karcher means inequalities involving positive linear maps

Cites Work

• Matrix versions of the Cauchy and Kantorovich inequalities
• A matrix version of the Wielandt inequality and its applications to statistics
• On an operator Kantorovich inequality for positive linear maps
• Norm inequalities related to operator monotone functions
• Notes on matrix arithmetic-geometric mean inequalities
• Matrix Analysis
• Squaring a reverse AM-GM inequality
• More operator versions of the Schwarz inequality

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