AsymptoticallyIsometricCopyoflβ（0<β<1）inSpacesofBoundedLinearOperators

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作者：
Chen ZHIMei Mei SONG Department of MathematicsTianjin University of TechnologyTianjin PRChina [300384 ]
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来源：
数学研究与评论 | 2011年 / 31卷 / 03期
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中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Assume X is a normed space,every x * ∈ S(X*) can reach its norm at some point in B(X),and Y is a β-normed space.If there is a quotient space of Y which is asymptotically isometric to l β,then L(X,Y) contains an asymptotically isometric copy of l β.Some sufficient conditions are given under which L(X,Y) fails to have the fixed point property for nonexpansive mappings on closed bounded β-convex subsets of L(X,Y).
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页码：562 / 566
页数：5
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