Unitary operators in real von Neumann algebras

DOI10.1016/j.jmaa.2011.08.049zbMath1239.46041OpenAlexW2028319134MaRDI QIDQ643601

Juan Carlos Navarro-Pascual, Miguel Ángel Navarro

Publication date: 2 November 2011

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.2011.08.049

zbMATH Keywords

von Neumann algebrapolar decompositionRusso-Dye theoremclosed convex hull of the unitary operators

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) General theory of von Neumann algebras (46L10)

Related Items (6)

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Cites Work

• Convex combinations of unitary operators in von Neumann algebras
• Advances in the theory of unitary rank and regular approximation
• A geometric function determined by extreme points of the unit ball of a normed space
• Extreme contractions on real Hilbert spaces
• On the Russo-Dye theorem
• Banach algebras with unitary norms
• Extreme points in function algebras
• A note on unitary operators in \(C^ *\)-algebras
• Banach algebras with involution and Möbius transformations
• Isometries of operator algebras
• Shorter Notes: An Elementary Proof of the Russo-Dye Theorem
• Means and convex combinations of unitary operators.
• On the definition of real 𝑊*-algebras
• Rotundity, the C.S.R.P., and the λ-Property in Banach Spaces
• A Note on the unit Ball in C ^* -Algebras
• Banach spaces whose algebras of operators have a large group of unitary elements
• On extreme points of regular convex sets

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