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When U is the open unit ball of a separable Banach space E, we show that , the predual of the space of bounded holomorphic mappings on U, has the bounded approximation property if and only if E has the bounded approximation property.
Erhan Çalışkan. "The bounded approximation property for the predual of the space of bounded holomorphic mappings." Studia Mathematica 177.3 (2006): 225-233. <http://eudml.org/doc/284575>.
@article{ErhanÇalışkan2006, abstract = {When U is the open unit ball of a separable Banach space E, we show that $G^\{∞\}(U)$, the predual of the space of bounded holomorphic mappings on U, has the bounded approximation property if and only if E has the bounded approximation property.}, author = {Erhan Çalışkan}, journal = {Studia Mathematica}, keywords = {Banach spaces; bounded holomorphic mappings; bounded approximation property}, language = {eng}, number = {3}, pages = {225-233}, title = {The bounded approximation property for the predual of the space of bounded holomorphic mappings}, url = {http://eudml.org/doc/284575}, volume = {177}, year = {2006}, }
TY - JOUR AU - Erhan Çalışkan TI - The bounded approximation property for the predual of the space of bounded holomorphic mappings JO - Studia Mathematica PY - 2006 VL - 177 IS - 3 SP - 225 EP - 233 AB - When U is the open unit ball of a separable Banach space E, we show that $G^{∞}(U)$, the predual of the space of bounded holomorphic mappings on U, has the bounded approximation property if and only if E has the bounded approximation property. LA - eng KW - Banach spaces; bounded holomorphic mappings; bounded approximation property UR - http://eudml.org/doc/284575 ER -