The Cauchy-Schwarz Norm Inequality for Elementary Operators in Schatten Ideals

DOI10.1112/S0024610799008145zbMath0949.47030OpenAlexW2142566491MaRDI QIDQ4487497

Danko R. Jocić

Publication date: 22 June 2000

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610799008145

zbMATH Keywords

elementary operatorsSchatten classCauchy-Schwarz norm inequality

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) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (13)

Cauchy–Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications ⋮ Perturbation norm inequalities for elementary operators generated by analytic functions with positive Taylor coefficients ⋮ Norm inequalities for a class of elementary operators generated by analytic functions with non-negative Taylor coefficients in ideals of compact operators related to \(p\)-modified unitarily invariant norms ⋮ Refinements of operator Cauchy-Schwarz and Minkowski inequalities for \(p\)-modified norms and related norm inequalities ⋮ Laplace transformers in norm ideals of compact operators ⋮ Refinements of inequalities related to Landau-Grüss inequalities for elementary operators acting on ideals associated to \(p\)-modified unitarily invariant norms ⋮ Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions ⋮ Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮ Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms ⋮ Interpolation norms between row and column spaces and the norm problem for elementary operators ⋮ The applications of Cauchy-Schwartz inequality for Hilbert modules to elementary operators and I.P.T.I. transformers ⋮ Operator-valued Extensions of Matrix-norm Inequalities ⋮ Cauchy-Schwarz norm inequalities for elementary operators and inner product type transformers generated by families of subnormal operators

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