Convex combinations of unitary operators in von Neumann algebras

DOI10.1016/0022-1236(86)90064-9zbMath0597.46061OpenAlexW2027911439MaRDI QIDQ1079159

Catherine L. Olsen, Gert Kjaergård Pedersen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90064-9

zbMATH Keywords

indexgroup of invertible elementsasymmetric convex decompositionsconvex combinations of unitariesunitary rank

Mathematics Subject Classification ID

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

Related Items

On the extension of isometries between the unit spheres of von Neumann algebras, A non-selfadjoint Russo-Dye theorem, Orthogonal and skew-symmetric operators in real Hilbert space, Unitary operators in real von Neumann algebras, Unitary approximation

Cites Work

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• A note on unitary operators in \(C^ *\)-algebras
• Isometries of operator algebras
• Shorter Notes: An Elementary Proof of the Russo-Dye Theorem
• Index theory in von Neumann algebras
• Means and convex combinations of unitary operators.
• A Note on the unit Ball in C ^* -Algebras
• The Closure of the Regular Operators in a Ring of Operators