LEFT SYMMETRIC POINTS FOR BIRKHOFF ORTHOGONALITY IN THE PREDUALS OF VON NEUMANN ALGEBRAS

DOI10.1017/S0004972718000849zbMath1412.46026OpenAlexW2889458638MaRDI QIDQ4559276

Kichi-Suke Saito, Ryotaro Tanaka, Naoto Komuro

Publication date: 3 December 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972718000849

zbMATH Keywords

von Neumann algebrapredualBirkhoff orthogonalitysymmetric point

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Geometry and structure of normed linear spaces (46B20)

Related Items (6)

A nonlinear characterization of type I factors based on strong Birkhoff-James orthogonality ⋮ On symmetry of Birkhoff orthogonality in the positive cones of \(C^{\ast}\)-algebras with applications ⋮ Birkhoff-James orthogonality and its local symmetry in some sequence spaces ⋮ Modular Birkhoff-James orthogonality in \(B(\mathbb{X,Y})\) and \(K(\mathbb{X,Y})\) ⋮ On symmetry of strong Birkhoff orthogonality in \(B(\mathcal{H},\mathcal{K})\) and \(K(\mathcal{H},\mathcal{K})\) ⋮ Characterization of symmetric points in lpn-spaces

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• Characterizations of inner product spaces
• A remark on orthogonality and symmetry of operators in \(\mathcal{B}(\mathcal{H})\)
• On operators preserving James' orthogonality
• On the Facial Structure of the Unit Balls in a JBW^∗ -Triple and its Predual
• Facial Structure in Operator Algebra Theory
• On symmetry of Birkhoff-James orthogonality of linear operators on finite-dimensional real Banach spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces

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