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《ACTA ANALYSIS FUNCTIONALIS APPLICATA》 1999-01
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On Asymptotically Isometric Copies of l_1 and c_0

CHEN Shu-tao (Harbin Normal University, Harbin 150080, China)  
P. N. Dowling and C. J. Lennard proved that if a Banach space contains an asymptotically isometric copy. pf l_1, then it fails the fixed point property. In this paper, necessary and sufficient conditions for a Banach space to contain an asymptotically isometric copy of l_1 or c_0 are given by the dual action. Moreover, it is shown that a Banach space contains an asymptotically isometric copy of l_1 if it contains an isometric copy of l∞.
【Fund】: The Heilongjiang Science Foundation
【CateGory Index】: O177
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