Orthogonality of the range and the kernel of some elementary operators

DOI10.1090/S0002-9939-00-05890-1zbMath0981.47027OpenAlexW2127101376MaRDI QIDQ4505892

Dragoljub J. Kečkić

Publication date: 3 October 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05890-1

zbMATH Keywords

elementary operatornormal operatorunitarily invariant normorthogonality of subspace

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) Commutators, derivations, elementary operators, etc. (47B47) Operator ideals (47L20)

Related Items (14)

A distance formula for tuples of operators ⋮ On the converse of Anderson's theorem ⋮ Cyclic kernels of elementary operators on Banach spaces ⋮ Global minimum and orthogonality in \(C_{1}\)-classes. ⋮ Elementary operators, finite ascent, range closure and compactness ⋮ On Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ On the range closure of an elementary operator ⋮ Unnamed Item ⋮ On orthogonality of elementary operators in norm-attainable classes ⋮ Range-kernel weak orthogonality of some elementary operators ⋮ Subspace gaps and range-kernel orthogonality of an elementary operator ⋮ On an elementary operator withM-hyponormal operator entries ⋮ Asymetric Fuglede Putnam’s theorem for operators reduced by their eigenspaces

Cites Work

• On the continuity of the absolute value map in the Schatten classes
• A remark on normal derivations
• Normal Derivations in Norm Ideals
• Another Generalization of Anderson's Theorem
• On Normal Derivations
• Unnamed Item

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