Every separable -predual is complemented in a C^*-algebra
Volume 160 / 2004
Studia Mathematica 160 (2004), 103-116
MSC: 46B20, 46L05, 46B04, 46G20.
DOI: 10.4064/sm160-2-1
Abstract
We show that every separable complex L_1-predual space X is contractively complemented in the CAR-algebra. As an application we deduce that the open unit ball of X is a bounded homogeneous symmetric domain.
