| A Note of Paper ``Banach Spaces Failing the Almost Isometric Universal Extension Property" |
| Received:June 22, 2006 Revised:January 17, 2007 |
| Key Words:
property ${\cal A}$ with constant $\alpha$ modulus of convexity $\lambda$-EP $\lambda$-UEP.
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| Fund Project: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). |
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| Abstract: |
| The definition of property ${\cal A}$ with constant $\alpha$ was introduced by D. M. Speegle, who proved that every infinite dimensional separable uniformly smooth Banach space has property ${\cal A}$ with constant $\alpha \in[0,1)$. In this paper, we give a sufficient condition for a Banach space to have property ${\cal A}$ with constant $\alpha \in[0,1)$, and some remarks on Speegle's paper [1]. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.03.022 |
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