An extremal property of the polar decomposition in von Neumann algebras

DOI10.3792/pja/1195520348zbMath0207.44402OpenAlexW2101393999MaRDI QIDQ5608352

Hisashi Choda

Publication date: 1970

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195520348

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10)

Related Items (10)

EXTREME POINT METHODS IN THE STUDY OF ISOMETRIES ON CERTAIN NONCOMMUTATIVE SPACES ⋮ On the homotopy type of the regular group of a \(W^*\)-algebra ⋮ Some characterizations of certain von Neumann algebras ⋮ \(JB^{\ast}\)-algebras of topological stable rank 1 ⋮ 𝐶*-Algebras with the Approximate Positive Factorization Property ⋮ Average of two extreme points in \(JBW^*\)-triples ⋮ Symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras with applications to preserver problems ⋮ The weak Haagerup property ⋮ Local convergence in measure on semifinite von Neumann algebras ⋮ Property \((T)\) for \(II_ 1\) factors and unitary representations of Kazhdan groups

Cites Work

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• Extreme points in function algebras
• A note on unitary operators in \(C^ *\)-algebras
• \(B^ *\) algebra unit ball extremal points
• Isometries of operator algebras
• On the minimality of the polar decomposition in finite factors
• Some extremal properties in the unit ball of von Neumann algebras
• On a Paper of Phelps
• The Closure of the Regular Operators in a Ring of Operators

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