Compact Derivations of Nest Algebras

DOI10.2307/2045925zbMath0624.47035OpenAlexW4243324205MaRDI QIDQ3025716

Costel Peligrad

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045925

zbMATH Keywords

Banach algebraBanach A-moduleA-valued compact and weakly compact derivations on a nest algebra A.norm-limit of finite rank derivationsX-valued derivation

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47)

Cites Work

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• The commutant modulo the set of compact operators of a von Neumann algebra
• Commutants of nest algebras modulo the compact operators
• Compact and weakly compact derivations of C*-algebras
• Banach-module valued derivations on C*-algebras
• Derivations of nest algebras
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• Asymptotic commutants and zeros of von Neumann algebras.
• Operators of Finite Rank in Nest Algebras

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