The Daugavet property of $C^*$-algebras, $JB^*$-triples, and of their isometric preduals

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dc.creatorBecerra-Guerrero, Julio
dc.creatorMartin, Miguel
dc.date2004-07-13
dc.date2004-12-13
dc.date.accessioned2026-07-07T05:10:14Z
dc.date.available2026-07-07T05:10:14Z
dc.descriptionA Banach space $X$ is said to have the Daugavet property if every rank-one operator $T:X\longrightarrow X$ satisfies $\|Id + T\| = 1 + \|T\|$. We give geometric characterizations of this property in the settings of $C^*$-algebras, $JB^*$-triples and their isometric preduals. We also show that, in these settings, the Daugavet property passes to ultrapowers, and thus, it is equivalent to an stronger property called the uniform Daugavet property.
dc.descriptionTo appear in J. Funct. Anal., final form, 19 pages
dc.identifierhttps://arxiv.org/abs/math/0407214
dc.identifierhttp://arxiv.org/abs/math/0407214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71867
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subjectPrimary 46B04; 46B20; 46L05; 46L70; 17C65; Secondary 46B22, 46M07
dc.titleThe Daugavet property of $C^*$-algebras, $JB^*$-triples, and of their isometric preduals
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