摘要
The definition of property A with constant α was introduced by D. M. Speegle, who proved that every infinite dimensional separable uniformly smooth Banach space has property A with constant α∈ [0, 1）. In this paper, we give a sufficient condition for a Banach space to have property A with constant α∈[0, 1）, and some remarks on Speegle＇s paper .
The definition of property A with constant α was introduced by D. M. Speegle, who proved that every infinite dimensional separable uniformly smooth Banach space has property A with constant α∈ [0, 1）. In this paper, we give a sufficient condition for a Banach space to have property A with constant α∈[0, 1）, and some remarks on Speegle＇s paper .
基金
the National Natural Science Foundation of China （No. 10571090）
the Research Foundation for the Doctoral Program of Higher Education （No. 20060055010）
the Research Foundation of Tianjin Municipal Education Commission （No. 20060402）.Acknowledgement The author would like to thank Professor Ding Guanggui for his guidance, and thank the referees for their valuable comments and suggestions.
