Squaring operator Pólya-Szegő and Diaz-Metcalf type inequalities
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Publication:5962479
DOI10.1016/j.laa.2015.01.041zbMath1336.47019arXiv1501.02939OpenAlexW2030228287MaRDI QIDQ5962479
Xiaohui Fu, Mohammad Sal Moslehian
Publication date: 12 February 2016
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.02939
geometric meanoperator inequalityDiaz-Metcalf type inequalityPólya-Szegő inequalitypositive linear map
Related Items (6)
An extension of the Pólya-Szegő operator inequality ⋮ More accurate operator means inequalities ⋮ On some general inequalities related to operator AM-GM inequality ⋮ Improvements of operator reverse AM-GM inequality involving positive linear maps ⋮ Some operator inequalities for operator means and positive linear maps ⋮ Extension of the Kantorovich inequality for positive multilinear mappings
Cites Work
- On a question of Bhatia and Kittaneh
- A matrix reverse Cauchy-Schwarz inequality
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- A Schwarz inequality for positive linear maps on C\(^*\)-algebras
- Means of positive linear operators
- Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
- Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method
- Operator inequalities related to Cauchy-Schwarz and Hölder-McCarthy inequalities
- On an operator Kantorovich inequality for positive linear maps
- Notes on matrix arithmetic-geometric mean inequalities
- A Diaz-Metcalf type inequality for positive linear maps and its applications
- Reverses of Ando's inequality for positive linear maps
- Squaring a reverse AM-GM inequality
- Gruess inequality for some types of positive linear maps
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