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

The Alternative Daugavet Property of C-algebras and JB-triples

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 µ such that ||Id + µ T||= 1 + ||T||.
We give geometric characterizations of this property in the setting of
C*-algebras, JB*-triples and their isometric preduals.

adauprop.pdf (272K)

Miguel Martin < mmartins@ugr.es >