The Daugavet property of \(C^{\ast}\)-algebras, \(JB^{\ast}\)-triples, and of their isometric preduals

DOI10.1016/j.jfa.2004.11.004zbMath1081.46009arXivmath/0407214OpenAlexW2164430320MaRDI QIDQ2484250

Miguel Martín, Julio Becerra Guerrero

Publication date: 1 August 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407214

zbMATH Keywords

Fréchet differentiable normDaugavet propertyJB\(^*\)-tripleDaugavet equation

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Ultraproduct techniques in Banach space theory (46B08) General theory of (C^*)-algebras (46L05) Isometric theory of Banach spaces (46B04) Nonassociative selfadjoint operator algebras (46L70)

Related Items

The fixed point property in \(JB^*\)-triples and preduals of \(JBW^*\)-triples ⋮ Daugavet property in projective symmetric tensor products of Banach spaces ⋮ On the existing set of the oscillating spectrum ⋮ Banach spaces with the Daugavet property, and the centralizer ⋮ The Daugavet Equation: Linear and Nonlinear Recent Results ⋮ The Daugavet equation for polynomials on \(\mathrm{C}^\ast\)-algebras and \(\mathrm{JB}^\ast\)-triples ⋮ Octahedral norms and convex combination of slices in Banach spaces ⋮ The group of isometries of a Banach space and duality ⋮ \(L\)-orthogonality, octahedrality and Daugavet property in Banach spaces ⋮ Banach spaces whose algebras of operators have a large group of unitary elements ⋮ Delta- and Daugavet points in Banach spaces ⋮ On the geometry of von Neumann algebra preduals ⋮ Weak Banach-Saks property and Komlós’ theorem for preduals of JBW*-triples ⋮ Positive and negative results on the numerical index of Banach spaces and duality ⋮ DAUGAVET PROPERTY IN TENSOR PRODUCT SPACES ⋮ The Kadec–Pełczyński–Rosenthal subsequence splitting lemma for JBW^*-triple preduals

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