Decompositions of preduals of JBW and \(\text{JBW}^\ast\) algebras

DOI10.1016/j.jmaa.2016.08.031zbMath1360.46012arXiv1511.01086OpenAlexW2130316143MaRDI QIDQ321735

Martin Bohata, Jan Hamhalter, Ondřej F. K. Kalenda

Publication date: 14 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01086

zbMATH Keywords

Jordan algebraprojectional skeleton1-Plichko spaceMarkushevich basisweakly compactly generated spaceJBW-algebraJBW\(^*\)-algebra predual

Mathematics Subject Classification ID

Nonseparable Banach spaces (46B26) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items (9)

Characterizations of weakly \(\mathcal{K} \)-analytic and Vašák spaces using projectional skeletons and separable PRI ⋮ Finite tripotents and finite \(\text{JBW}^\ast\)-triples ⋮ On projectional skeletons in Vašák spaces ⋮ Contractively decomposable projections on noncommutative \(\mathrm{L}^p\)-spaces ⋮ Preservation of order and orthogonality on preduals of Jordan algebras ⋮ Lyapunov convexity theorem for von Neumann algebras and Jordan operator structures ⋮ 𝐶*-algebras with weak* angelic dual balls ⋮ Boundedness of completely additive measures with application to 2-local triple derivations ⋮ Measures of weak non-compactness in preduals of von Neumann algebras and \(JBW^\ast\)-triples

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