| 几乎满的ε-等距算子的等距逼近问题 |
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| 引用本文： | 张毅,王建.几乎满的ε-等距算子的等距逼近问题[J].数学研究,2008,41(4). |
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| 作者姓名： | 张毅 王建 |
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| 作者单位： | 1. 福建师范大学图书馆,福州,350007
2. 福建师范大学数学与计算机科学学院,福州,350007 |
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| 基金项目： | the National Science Foundation of Fujian Province
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福建省教育厅资助项目
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| 摘 要： | 我们从减弱文Vestfrid1]中定理3中空间一致凸条件和加强ε-等距算子条件着手去研究Banach空间中几乎满的ε-等距算子的等距逼近问题．另外，我们结合完备的β-范（0〈β〈1）空间的性质得到一些相关结论．
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| 关 键 词： | ε-等距 几乎满 ε-isometry |
The Isometric Approximation Problem of Almost Surjective ε-Isometric Operator |
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| Zhang Yi,Wang Jian.The Isometric Approximation Problem of Almost Surjective ε-Isometric Operator[J].Journal of Mathematical Study,2008,41(4). |
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| Authors: | Zhang Yi Wang Jian |
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| Abstract: | In this paper, we investigate the isometric approximation problem of almost surjective ε-isometric operator between Banach spaces, weakening uniformly convex condition of the space in Vestfrid1, Theorem 3] and strengthening the condition of the ε-isometric operator. In addition, we discuss the problem on complete β-normed spaces (0 < β < 1). |
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| Keywords: | almost surjective |
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