Normal Derivations in Norm Ideals

DOI10.2307/2160991zbMath0831.47036OpenAlexW4248075132MaRDI QIDQ4845888

Fuad Kittaneh

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2160991

zbMATH Keywords

nonnormal derivationsorthogonality of the range and the kernel of a normal derivationunitarily invariant norms associated with norm ideals of operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Geometry and structure of normed linear spaces (46B20) 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) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47) Operator ideals (47L20)

Related Items (19)

Birkhoff–James Orthogonality: Characterizations, Preservers, and Orthogonality Graphs ⋮ Non-normal derivation and orthogonality ⋮ On the converse of Anderson's theorem ⋮ Class \(wA(s,t)\) operators and quasisimilarity ⋮ Global minimum and orthogonality in \(C_{1}\)-classes. ⋮ Self-commutator approximants ⋮ Range kernel orthogonality of derivations ⋮ Dynamics of generalised derivations and elementary operators ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Une remarque sur l’orthogonalité de l’image au noyau d’une dérivation généralisée ⋮ Hypercyclicity properties of commutator maps ⋮ Unnamed Item ⋮ Range-kernel orthogonality of the elementary operator \(X\to\sum_{i=1}^n A_iXB_i - X\) ⋮ Generalized Anderson's inequality ⋮ Fuglede-Putnam type theorems via the generalized Aluthge transform ⋮ On orthogonality of elementary operators in norm-attainable classes ⋮ Range-kernel weak orthogonality of some elementary operators ⋮ Elementary operators and orthogonality. ⋮ Orthogonality of the range and the kernel of some elementary operators

Cites Work

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• On generalised Putnam-Fuglede theorems
• A remark on normal derivations of Hilbert-Schmidt type
• Norm inequalities for partitioned operators and an application
• Subnormal operator with a cyclic vector
• A Counterexample in the theory of derivations
• Remark on the Generalized Putnam-Fuglede Theorem
• On normal derivations of Hilbert–Schmidt type
• Commutator Approximants
• Spectral Properties of Linear Operators for which T ∗ T and T + T ∗ Commute
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Finite Operators
• On Normal Derivations

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