On the Clarkson-McCarthy inequalities

DOI10.1007/BF01449211zbMath0618.47008OpenAlexW1985664203MaRDI QIDQ1822319

Rajendra Bhatia, John A. R. Holbrook

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164396

zbMATH Keywords

inequalitiesSchatten p-norms of Hilbert space operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items

A Schatten-\(q\) low-rank matrix perturbation analysis via perturbation projection error bound, Unitarily invariant norm inequalities for functions of accretive-dissipative \(2\times 2\) block matrices, The Hoffman-Wielandt inequality in infinite dimensions, A softer, stronger Lidskii theorem, Inequalities for sums and direct sums of Hilbert space operators, Clarkson-McCarthy inequalities with unitary and isometry orbits, Refinements of operator Cauchy-Schwarz and Minkowski inequalities for \(p\)-modified norms and related norm inequalities, Clarkson-McCarthy inequalities for \(l_q(S^p)\) spaces of operators, Clarkson-McCarthy inequalities for \(l_p\)-spaces of operators in Schatten ideals, Approximation by positive operators, Unnamed Item, Norm inequalities for partitioned operators and an application, Clarkson inequalities related to convex and concave functions, Norm inequalities involving convex and concave functions of operators, Clarkson-McCarthy inequalities for several operators and related norm inequalities for \(p\)-modified unitarily invariant norms, Extensions of inequalities for sector matrices, Inequalities for sums and products of operators, Cartesian decompositions and Schatten norms, Noncommutative Orlicz modular spaces associated with growth functions, Further inequalities for sector matrices, On Clarkson-McCarthy inequalities for $n$-tuples of operators

Cites Work

• Some inequalities for norm ideals
• Unitary invariance and spectral variation
• Convex and concave functions of singular values of matrix sums
• \(c_ p\)
• Free states of the canonical anticommutation relations
• Inequalities: theory of majorization and its applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item