Hölder-type inequalities involving unitarily invariant norms

DOI10.1007/s11117-011-0122-zzbMath1269.47010OpenAlexW1982904683MaRDI QIDQ1928538

Hussien Albadawi

Publication date: 3 January 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-011-0122-z

zbMATH Keywords

norm inequalitypositive operatorHölder's inequalityunitarily invariant normCauchy-Schwarz inequality\(n\)-tuple of operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)

Related Items (6)

Hölder-type inequalities of measurable operators ⋮ Unification of the arithmetic-geometric mean and Hölder inequalities for unitarily invariant norms ⋮ Operator inequalities of Hölder type for unitarily invariant norms ⋮ Logarithmic submajorization, uniform majorization and Hölder type inequalities for \(\tau \)-measurable operators ⋮ Matrix inequalities related to Hölder inequality ⋮ New proofs on two recent inequalities for unitarily invariant norms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cauchy-Schwarz inequalities associated with positive semidefinite matrices
• A matrix subadditivity inequality for \(f(A + B)\) and \(f(A) + f(B)\)
• Notes on some inequalities for Hilbert space operators
• Inequalities for C-S seminorms and Lieb functions
• Norm inequalities for fractional powers of positive operators
• A Cauchy-Schwarz inequality for operators with applications
• Norm inequalities related to operator monotone functions
• Norm inequalities for the absolute value of Hilbert space operators
• Some Norm Inequalities for Operators
• Matrix inequalities
• Inequalities involving unitarily invariant norms and operator monotone functions
• Norm inequalities for weighted power means of operators

This page was built for publication: Hölder-type inequalities involving unitarily invariant norms