Minimal rank and reflexivity of operator spaces

DOI10.1090/S0002-9939-06-08671-0zbMath1111.47061MaRDI QIDQ3430192

Roy Meshulam, Peter Šemrl

Publication date: 21 March 2007

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

Mathematics Subject Classification ID

Linear spaces of operators (47L05) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (8)

Reflexivity of finite-dimensional sets of operators ⋮ Reflexivity defect of kernels of the elementary operators of length 2 ⋮ Range-compatible homomorphisms on matrix spaces ⋮ 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 ⋮ On superactivation of zero-error capacities and reversibility of a quantum channel

Cites Work

• Locally linearly dependent operators.
• Separating vectors and reflexivity
• Locally linearly dependent operators and reflexivity of operator spaces
• Reflexivity and hyperreflexivity of operator spaces.
• On finite rank operators and preannihilators
• Reflexivity, Algebraic Reflexivity and Linear Interpolation
• On locally linearly dependent operators and derivations
• ELEMENTARY OPERATORS AS LIE HOMOMORPHISMS OR COMMUTATIVITY PRESERVERS
• On a pattern of reflexive operator spaces
• Generalized Polynomial Identities and Pivotal Monomials

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