Range-kernel orthogonality of the elementary operator \(X\to\sum_{i=1}^n A_iXB_i - X\)

DOI10.1016/S0024-3795(01)00339-1zbMath1017.47027MaRDI QIDQ5954125

Bhaggy Duggal

Publication date: 30 January 2002

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

zbMATH Keywords

elementary operatorsnormal operatorrange-kernel orthogonalitySchatten \(p\)-classes

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 (6)

Global minimum and orthogonality in \(C_{1}\)-classes. ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Norms of elementary operators ⋮ Range-kernel orthogonality and elementary operators on certain Banach spaces ⋮ Subspace gaps and range-kernel orthogonality of an elementary operator ⋮ Range-kernel orthogonality and elementary operators: the nonsmoothness case

Cites Work

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• Norm derivatives on spaces of operators
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• An Extension of the Fugledge Commutativity Theorem Modulo the Hilbert- Schmidt Class to Operators of the Form ΣM n XN n
• A remark on normal derivations
• Normal Derivations in Norm Ideals
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• On Normal Derivations
• Orthogonality and Linear Functionals in Normed Linear Spaces

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