Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms

DOI10.1016/j.laa.2009.06.042zbMath1181.47039OpenAlexW2056856796MaRDI QIDQ734918

Danko R. Jocić

Publication date: 14 October 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.06.042

zbMATH Keywords

Schatten idealsnorm of an elementary operatornorm reconvexization

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) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (13)

Perturbation norm inequalities for elementary operators generated by analytic functions with positive Taylor coefficients ⋮ Grüss-Landau inequalities for elementary operators and inner product type transformers in Q and Q* norm ideals of compact operators ⋮ Noncommutative Pick-Julia theorems for generalized derivations in \(\mathrm{Q}, \mathrm{Q}^\ast\) and Schatten-von Neumann ideals of compact operators ⋮ 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 ⋮ A class of norm inequalities for operator monotone functions and hyponormal operators ⋮ Refinements of inequalities related to Landau-Grüss inequalities for elementary operators acting on ideals associated to \(p\)-modified unitarily invariant norms ⋮ Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮ Clarkson-McCarthy inequalities for several operators and related norm inequalities for \(p\)-modified unitarily invariant norms ⋮ Noncommutative Schwarz lemma and Pick-Julia theorems for generalized derivations in norm ideals of compact operators ⋮ Norm inequalities for elementary operators and other inner product type integral transformers with the spectra contained in the unit disc ⋮ Belonging of Gel'fand integral of positive operator valued functions to separable ideals of compact operators on Hilbert space ⋮ Cauchy-Schwarz norm inequalities for elementary operators and inner product type transformers generated by families of subnormal operators

Cites Work

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• Elementary mappings into ideals of operators
• Interpolation norms between row and column spaces and the norm problem for elementary operators
• Norm inequalities for partitioned operators and an application
• Norms and CB norms of Jordan elementary operators.
• Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
• Spectral Properties of Elementary Operators. II
• Essential Spectra of Elementary Operators
• The Cauchy-Schwarz Norm Inequality for Elementary Operators in Schatten Ideals
• ON THE NORM OF ELEMENTARY OPERATORS
• On the norm of symmetrised two-sided multiplications
• A Class of Reflexive Symmetric Bk-Spaces

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