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We show that every separable complex L₁-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.
Wolfgang Lusky. "Every separable L₁-predual is complemented in a C*-algebra." Studia Mathematica 160.2 (2004): 103-116. <http://eudml.org/doc/285241>.
@article{WolfgangLusky2004, abstract = {We show that every separable complex L₁-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.}, author = {Wolfgang Lusky}, journal = {Studia Mathematica}, keywords = {contractively complemented subspace; CAR-algebra; -predual}, language = {eng}, number = {2}, pages = {103-116}, title = {Every separable L₁-predual is complemented in a C*-algebra}, url = {http://eudml.org/doc/285241}, volume = {160}, year = {2004}, }
TY - JOUR AU - Wolfgang Lusky TI - Every separable L₁-predual is complemented in a C*-algebra JO - Studia Mathematica PY - 2004 VL - 160 IS - 2 SP - 103 EP - 116 AB - We show that every separable complex L₁-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. LA - eng KW - contractively complemented subspace; CAR-algebra; -predual UR - http://eudml.org/doc/285241 ER -