Convergence in the dual of a \(\sigma\)-complete \(C^*\)-algebra

DOI10.1016/J.JMAA.2004.02.004zbMath1054.46039OpenAlexW2035110200MaRDI QIDQ596702

J. D. Maitland Wright, James K. Brooks

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.02.004

zbMATH Keywords

absolute continuity of bounded linear functionalsmonotone \(\sigma\)-complete C*-algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05)

Related Items (3)

The Nikodym property and cardinal characteristics of the continuum ⋮ Equicontinuity in measure spaces and von Neumann algebras ⋮ A noncommutative Brooks-Jewett theorem

Cites Work

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• On the conjugate space of operator algebra
• Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively
• On the preduals of \(W^ *\)-algebras
• On a theorem of Nikodym with applications to weak convergence and von Neumann algebras
• Weak compactness in the dual space of a \(C^*\)-algebra
• Operator algebras and a theorem of Dieudonne
• \(C^*\)-algebras which are Grothendieck spaces
• The Dual Space of an Operator Algebra
• On Finitely Additive Vector Measures
• Every Monotone σ-Complete C^* -Algebra is the Quotient of its Baire^* Envelope by a Two Sided σ-Ideal
• Theory of operator algebras I.

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