Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495965 | Journal of Functional Analysis | 2005 | 22 Pages |
Abstract
A Banach space X is said to have the Daugavet property if every rank-one operator T:Xâ¶X satisfies â¥Id+Tâ¥=1+â¥Tâ¥. 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Julio Becerra Guerrero, Miguel MartÃn,