A matrix reverse Hölder inequality

DOI10.1016/j.laa.2009.07.010zbMath1179.15021OpenAlexW2090829219MaRDI QIDQ734929

Jean-Christophe Bourin, Yuki Seo, Masatoshi Fujii, Eun-Young Lee

Publication date: 14 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.010

zbMATH Keywords

geometric meanpositive linear mapsLöwner partial orderingHölder inequalityHermitian positive definite matricesmatrix Cassels inequalitymatrix Cauchy-Schwarz inequalityreverse inequalities

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (20)

Hardy-Hilbert type inequalities for matrices ⋮ On inequalities of Bellman and Aczél type ⋮ New estimates on numerical radius and operator norm of Hilbert space operators ⋮ More accurate operator means inequalities ⋮ Extension of Hu Ke's inequality and its applications ⋮ A new upper bound of geometric constant \(D(X)\) ⋮ Generalized matrix version of reverse Hölder inequality ⋮ Generalized Pólya-Szegő type inequalities for some non-commutative geometric means ⋮ Operator spectral geometric versus geometric mean ⋮ A note on some inequalities for positive linear maps ⋮ Reverses of operator Aczél inequality ⋮ On the Pólya-Szegö operator inequality ⋮ On some matrix reverse Cauchy-Schwarz and Hölder inequalities ⋮ A difference counterpart to a matrix Hölder inequality ⋮ Reversed version of a generalized sharp Hölder's inequality and its applications ⋮ New inequalities for the generalized Karcher mean ⋮ New sharp inequalities for operator means ⋮ Complementary and refined inequalities of Callebaut inequality for operators ⋮ On the operator Aczél inequality and its reverse ⋮ Popoviciu type inequalities for determinants

Cites Work

• Unnamed Item
• A matrix reverse Cauchy-Schwarz inequality
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Functional calculus for sesquilinear forms and the purification map
• Positive definite matrices
• Some matrix inequalities
• Matrix inequalities involving a positive linear map

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