A matrix reverse Cauchy-Schwarz inequality

DOI10.1016/j.laa.2008.09.026zbMath1157.15024OpenAlexW2072137756MaRDI QIDQ959887

Eun-Young Lee

Publication date: 12 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.026

zbMATH Keywords

geometric meanpositive linear mapsCassel inequalitymatrix reverse Cauchy-Schwarz inequalityvon Neuman trace inequality

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) Functional calculus for linear operators (47A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (21)

An extension of the Pólya-Szegő operator inequality ⋮ Reverses of Ando's and Hölder-McCarty's inequalities ⋮ New inequalities for operator concave functions involving positive linear maps ⋮ On some general inequalities related to operator AM-GM inequality ⋮ Generalized matrix version of reverse Hölder inequality ⋮ Observer‐based H_∞ control of a stochastic Korteweg–de Vries–Burgers equation ⋮ Generalized Pólya-Szegő type inequalities for some non-commutative geometric means ⋮ On some algebraic properties related to Heron type operator means on positive definite cones of \(C^\ast\)-algebras ⋮ Norm inequalities related to the matrix geometric mean ⋮ Operator spectral geometric versus geometric mean ⋮ Jordan isomorphisms as preservers ⋮ A note on some inequalities for positive linear maps ⋮ On the Pólya-Szegö operator inequality ⋮ On some matrix reverse Cauchy-Schwarz and Hölder inequalities ⋮ A difference counterpart to a matrix Hölder inequality ⋮ Squaring operator Pólya-Szegő and Diaz-Metcalf type inequalities ⋮ A matrix reverse Hölder inequality ⋮ New sharp inequalities for operator means ⋮ Complementary and refined inequalities of Callebaut inequality for operators ⋮ Probing uncertainty relations in non-commutative space ⋮ New inequalities for interpolational operator means

Cites Work

• Functional calculus for sesquilinear forms and the purification map
• Positive definite matrices
• Matrix versions of some classical inequalities

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