Cauchy-Schwarz and means inequalities for elementary operators into norm ideals

DOI10.1090/S0002-9939-98-04342-1zbMath0899.47006OpenAlexW1518376819MaRDI QIDQ4210996

Danko R. Jocić

Publication date: 10 September 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04342-1

zbMATH Keywords

unitarily invariant normsnorm idealsCauchy-Schwarz norm inequalitygeneralized normal derivativesKy Fan dominance property.normal elementary 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) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) 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 ⋮ Contractive maps on operator ideals and norm inequalities. II ⋮ 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 ⋮ Cauchy-Schwarz inequalities for inner product type transformers in \({Q}^*\) norm ideals of compact operators ⋮ Norm inequalities for hypercontractive quasinormal operators and related higher order Sylvester-Stein equations in ideals of compact operators ⋮ Laplace transformers in norm ideals of compact operators ⋮ Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions ⋮ Contractive maps on operator ideals and norm inequalities. III. ⋮ Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮ 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 ⋮ Noncommutative Schwarz lemma and Pick-Julia theorems for generalized derivations in norm ideals of compact operators

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