Compact derivations relative to semifinite von Neumann algebras

DOI10.1016/0022-1236(85)90003-5zbMath0578.46055OpenAlexW2005829549MaRDI QIDQ1066423

Gary Weiss, Victor Kaftal

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90003-5

zbMATH Keywords

von Neumann algebraderivationSchatten classabelian atomic algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (13)

A Riemann Type Theorem for Unconditional Convergence of Operators ⋮ Derivations of von Neumann algebras into the compact ideal space of a semifinite algebra ⋮ Derivations with values in noncommutative symmetric spaces ⋮ Miscellaneous on commutants mod normed ideals and quasicentral modulus. I ⋮ Commutator estimates in \(W\)*-algebras ⋮ Inequalities for the block projection operators ⋮ Extreme points of convex fully symmetric sets of measurable operators ⋮ Derivations with values in ideals of semifinite von Neumann algebras ⋮ Block projection operators in normed solid spaces of measurable operators ⋮ M-embedded symmetric operator spaces and the derivation problem ⋮ Commutator estimates in $W^{*}$-factors ⋮ Characterization of certain traces on von Neumann algebras ⋮ Derivations with values in the ideal of \(\tau\)-compact operators affiliated with a semifinite von Neumann algebra

Cites Work

• Fredholm theories in von Neumann algebras. I
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• Relative Weak Convergence in Semifinite von Neumann Algebras
• Extension of derivations
• Theory of operator algebras I.
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