Reflexivity defect of spaces of linear operators

DOI10.1016/J.LAA.2008.07.024zbMath1155.47057OpenAlexW2005590418MaRDI QIDQ958028

Janko Bračič, Bojan Kuzma

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.07.024

zbMATH Keywords

reflexivitycommutantreflexivity defectsingle generated algebratwo-dimensional space of operators

Mathematics Subject Classification ID

Linear spaces of operators (47L05) Canonical forms, reductions, classification (15A21)

Related Items (9)

A note on commutativity preserving maps on M_n(ℝ) ⋮ Reflexivity of finite-dimensional sets of operators ⋮ On diameter of the commuting graph of a full matrix algebra over a finite field ⋮ Extremal matrix centralizers ⋮ Reflexivity defect of kernels of the elementary operators of length 2 ⋮ Double centralizing theorem with respect to q-commutativity relation ⋮ An upper bound on the dimension of the reflexivity closure ⋮ Range-compatible homomorphisms over fields with two elements ⋮ Homomorphisms of commutativity relation

Cites Work

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• Extensions of selfadjoint operators and defect of reflexivity
• Algebraic reflexivity of linear transformations
• Minimal rank and reflexivity of operator spaces
• On finite rank operators and preannihilators
• On Rank Two Linear Transformations and Reflexivity
• A proof of a theorem on commutative matrices

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