The alternative Daugavet property of C *‐algebras and JB *‐triples |
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| Authors: | Miguel Martín |
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| Institution: | Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain |
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| Abstract: | A Banach space X is said to have the alternative Daugavet property if for every (bounded and linear) rank‐one operator T: X → X there exists a modulus one scalar ω such that ∥Id+ωT ∥ = 1 + ∥T ∥. We give geometric characterizations of this property in the setting of C *‐algebras, JB *‐triples, and of their isometric preduals. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | C *‐algebra von Neumann predual JB *‐triple predual of a JBW *‐triple Daugavet equation numerical range numerical index |
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