Geometric description of the preduals of atomic commutative von Neumann algebras

DOI10.1134/S0001434613050076zbMath1281.46011arXiv1305.0522OpenAlexW3098249373MaRDI QIDQ358168

Zh. Kh. Seypullaev, S. Zh. Tleumuratov, M. M. Ibragimov, Karimbergen K. Kudaybergenov

Publication date: 16 August 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0522

zbMATH Keywords

facially symmetric spacegeometric tripotentpredual of an atomic commutative von Neumann algebrastrongly facially symmetric space

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Isometric theory of Banach spaces (46B04) Nonassociative selfadjoint operator algebras (46L70)

Related Items (4)

Characterization of JBW-algebras with strongly facially symmetric predual space ⋮ Description of facially symmetric spaces with unitary tripotents ⋮ Geometric description of \(L_1\)-spaces ⋮ Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras

Cites Work

• State spaces of \(JB^*\)-triples
• Some affine geometric aspects of operator algebras
• Affine structure of facially symmetric spaces
• A GEOMETRIC SPECTRAL THEOREM
• Classification of Atomic Facially Symmetric Spaces
• Geometry of the Dual Ball of the Spin Factor

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