Interpolation norms between row and column spaces and the norm problem for elementary operators

DOI10.1016/j.laa.2009.01.011zbMath1179.47034OpenAlexW1970395178MaRDI QIDQ1020926

Danko R. Jocić

Publication date: 4 June 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.2009.01.011

zbMATH Keywords

Schatten idealsinterpolation normstransformer norms and spaces

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Commutators, derivations, elementary operators, etc. (47B47) Interpolation between normed linear spaces (46B70) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (5)

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 ⋮ Cauchy-Schwarz inequalities for inner product type transformers in \({Q}^*\) norm ideals of compact operators ⋮ Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms ⋮ Norm inequalities for elementary operators and other inner product type integral transformers with the spectra contained in the unit disc

Cites Work

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• Elementary mappings into ideals of operators
• The range inclusion problem for elementary operators
• Completely bounded module maps and the Haagerup tensor product
• Classes of linear operators. Vol. I
• Non commutative Khintchine and Paley inequalities
• Notes on non-commutative integration
• Non-commutative martingale inequalities
• Means of Hilbert space operators
• Norms and CB norms of Jordan elementary operators.
• Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
• The Haagerup norm on the tensor product of operator modules
• The norm of a derivation
• A characterization of matrix operators on \(\ell^ 2\)
• Spectral Properties of Elementary Operators. II
• Essential Spectra of Elementary Operators
• Cauchy-Schwarz and means inequalities for elementary operators into norm ideals
• The Cauchy-Schwarz Norm Inequality for Elementary Operators in Schatten Ideals
• ON THE NORM OF ELEMENTARY OPERATORS
• Projections from a von Neumann algebra onto a subalgebra
• On the norm of symmetrised two-sided multiplications
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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