Bicommutants and ranges of derivations

DOI10.1080/03081087.2012.728599zbMath1277.15015arXiv1208.3941OpenAlexW1974297416MaRDI QIDQ5891207

Bojan Magajna

Publication date: 1 October 2013

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

Full work available at URL: https://arxiv.org/abs/1208.3941

zbMATH Keywords

derivationadjoint operatorbicommutant

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutators, derivations, elementary operators, etc. (47B47) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Algebraic systems of matrices (15A30) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

• On the operator equation \(BX - XA = Q\)
• A bicommutant theorem for completely bounded module homomorphisms
• Properties of endomorphism rings of Abelian groups. I.
• Identifying derivations through the spectra of their values
• The range of a normal derivation
• Duality and operator algebras. I: Automatic weak\(^{\ast}\) continuity and applications
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• On the Range Inclusion of Normal Derivations: Variations on a Theme by Johnson, Williams and Fong
• A BICOMMUTANT THEOREM FOR DUAL BANACH ALGEBRAS
• Range inclusion for normal derivations
• The range and kernel inclusion of algebraic derivations and commuting maps

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