The Universal Enveloping Ternary Ring of Operators of a JB*-Triple System

DOI10.1017/S0013091513000461zbMath1319.46048arXiv1005.3197MaRDI QIDQ5419404

Dennis Bohle, Wend Werner

Publication date: 6 June 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3197

zbMATH Keywords

ternary ring of operatorsCartan factorternary algebra\(J^\ast\)-algebra\(JC^\ast\)-triple systemuniversal enveloping TRO

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

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Cites Work

• Unnamed Item
• Operator space structure of \(JC^*\)-triples and TROs. I
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• On the radical of \(J^*\)-triples
• Compact operations, multipliers and Radon-Nikodym property in \(JB^*\)- triples
• On JB\(^*\)-triples defined by fibre bundles
• Complete holomorphic vector fields on the second dual of Banach space.
• Characterization of the predual and ideal structure of a JBW*-triple.
• Classification of JBW*-triple factors and applications.
• Contractive projections and operator spaces

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