Hilbert space operators with compatible off-diagonal corners

DOI10.1016/j.jfa.2018.04.002OpenAlexW2963093685MaRDI QIDQ1635684

Gordon Wilson MacDonald, Heydar Radjavi, Leo Livshits, Laurent W. Marcoux

Publication date: 1 June 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01840

zbMATH Keywords

cornersunitary operatorsnormal operatorsreductive operators

Mathematics Subject Classification ID

Operator theory (47-XX) Linear and multilinear algebra; matrix theory (15-XX)

Related Items (4)

Dispersing representations of semi-simple subalgebras of complex matrices ⋮ Normal operators with\cr highly incompatible off-diagonal corners ⋮ Off-diagonal corners of subalgebras of \(\mathcal{L}(\mathbb{C}^n)\) ⋮ Algebraic degree in spatial matricial numerical ranges of linear operators

Cites Work

• Locally linearly dependent operators.
• Corners of normal matrices
• Singular unitary dilations
• Invariant subspaces and unstarred operator algebras
• Every operator has almost-invariant subspaces
• An improvement of Kaplansky's lemma on locally algebraic operators
• Generalized Polynomial Identities and Pivotal Monomials
• An equivalent formulation of the invariant subspace conjecture
• On Invariant Subspaces of Normal Operators
• \(C^*\)-algebras by example
• Reductivity in \(C^*\)-algebras and essentially reductive operators
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