The Alternative Daugavet Property of $C^*$-algebras and $JB^*$-triples

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dc.creatorMartin, Miguel
dc.date2004-11-24
dc.date.accessioned2026-07-07T05:14:40Z
dc.date.available2026-07-07T05:14:40Z
dc.descriptionA Banach space $X$ is said to have the alternative Daugavet property if for every (bounded and linear) rank-one operator $T:X\longrightarrow X$ 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 their isometric preduals.
dc.identifierhttps://arxiv.org/abs/math/0411555
dc.identifierhttp://arxiv.org/abs/math/0411555
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73365
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject46B20, 46L05, 17C65 (primary); 47A12 (secondary)
dc.titleThe Alternative Daugavet Property of $C^*$-algebras and $JB^*$-triples
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