Inequalities for some operator and matrix functions

DOI10.1016/0001-8708(76)90185-7zbMath0324.15013OpenAlexW1965911172MaRDI QIDQ1224618

Elliott H. Lieb

Publication date: 1976

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(76)90185-7

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45)

Related Items (18)

More results related to geometric mean and singular values for matrices ⋮ Continuity of positive nonlinear maps between $C^*$-algebras ⋮ Study of eigenvalues of some matrices via dilations ⋮ Non-linear traces on matrix algebras, majorization, unitarily invariant norms and 2-positivity ⋮ An extension for matrices of Young's inequality ⋮ On the matrix Cauchy-Schwarz inequality ⋮ On the volume of the Minkowski sum of zonoids ⋮ Non-linear positive maps between C*-algebras ⋮ Lieb functions and \(m\)-positivity of norms ⋮ The matrix valued triangle inequality:quaternion version ⋮ Concavity of certain functions of matrices ⋮ Notes on infinite determinants of Hilbert space operators ⋮ Variational principle of Bogoliubov and generalized mean fields in many-particle interacting systems ⋮ On martingale inequalities in non-commutative stochastic analysis ⋮ Proof of the conjecture of A. Grothendieck on the Fuglede-Kadison determinant ⋮ Inequalities for C-S seminorms and Lieb functions ⋮ Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities ⋮ Triangle inequalities in operator algebras

Cites Work

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• Generalized Schur functions
• Some operator inequalities of the Schwarz type
• Remarks on the singular numbers of a sum of completely continuous operators
• Inequalities for matrix functions
• An inequality among determinants

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