Separating vectors and reflexivity

DOI10.1016/0024-3795(92)90040-HzbMath0758.15007MaRDI QIDQ1195334

Lifeng Ding

Publication date: 26 October 1992

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

zbMATH Keywords

reflexivityvector spacealgebraically reflexive setsseparating vectorsspace of linear transformations

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items (13)

Reflexivity and hyperreflexivity of operator spaces. ⋮ On strictly separating vectors and reflexivity ⋮ Algebras whose projective modules are reflexive ⋮ Compressions, graphs, and hyperreflexivity ⋮ Direct sums of reflexive modules ⋮ Strictly cyclic functionals, reflexivity, and hereditary reflexivity of operator algebras ⋮ On consistent operators and reflexivity ⋮ On $k$-reflexive representations of algebras ⋮ On a pattern of reflexive operator spaces ⋮ Separating versus strictly separating vectors ⋮ Locally linearly dependent operators and reflexivity of operator spaces ⋮ Minimal rank and reflexivity of operator spaces ⋮ On reflexivity of direct sums

Cites Work

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• On finite rank operators and preannihilators
• Reflexivity, Algebraic Reflexivity and Linear Interpolation
• HEREDITARY AND INTERMEDIATE REFLEXIVITY OFW*-ALGEBRAS
• On Invariant Linear Manifolds
• The Invariant Subspace Lattice of a Linear Transformation
• Every Isometry is Reflexive

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