Locally linearly dependent operators and reflexivity of operator spaces

DOI10.1016/j.laa.2003.12.024zbMath1055.15002OpenAlexW2000064916MaRDI QIDQ1826842

Peter Šemrl, Roy Meshulam

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.024

zbMATH Keywords

minimal rankalgebraic reflexivityspaces of operatorslocal linear dependence

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (10)

Minimal locally linearly dependent spaces of operators ⋮ LDB division algebras ⋮ Range-compatible homomorphisms on matrix spaces ⋮ Variance of operators and derivations ⋮ An upper bound on the dimension of the reflexivity closure ⋮ Reflexivity defect of spaces of linear operators ⋮ Local linear dependence seen through duality. I ⋮ On the minimal rank in non-reflexive operator spaces over finite fields ⋮ Local linear dependence seen through duality. II ⋮ Minimal rank and reflexivity of operator spaces

Cites Work

• Locally linearly dependent operators.
• A primer on spectral theory
• Separating vectors and reflexivity
• Reflexivity and hyperreflexivity of operator spaces.
• On matrix spaces with zero determinant
• Reflexivity, Algebraic Reflexivity and Linear Interpolation
• On locally linearly dependent operators and derivations
• On a pattern of reflexive operator spaces
• Generalized Polynomial Identities and Pivotal Monomials

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