| 关于WCD巴拿赫空间和巴拿赫空间的RN性质 |
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| 引用本文： | 邹励农.关于WCD巴拿赫空间和巴拿赫空间的RN性质[J].北京工商大学学报(自然科学版),1993(1). |
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| 作者姓名： | 邹励农 |
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| 作者单位： | 北京轻工业学院数学教研室 |
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| 摘 要： | 若X是-WCD巴拿赫空间,则在X上可构造一单位射影分解,而其对偶射影形成X上一单位射影分解.在这种情况下,X有一等价的Fréchet范数和LUR范数.现在,WCD性质与RN性质之间的关系将被进一步研究.定理1是我们的主要结果
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| 关 键 词： | WCD巴拿赫空间 RN性质 Fredcet范数 LUR范数 |
ON WCD BANACH SPACES AND RN PROPERTY OF BANACH SPACES |
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| Zou Linong Beijing Institute of Light Industry.ON WCD BANACH SPACES AND RN PROPERTY OF BANACH SPACES[J].Journal of Beijing Technology and Business University:Natural Science Edition,1993(1). |
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| Authors: | Zou Linong Beijing Institute of Light Industry |
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| Institution: | Zou Linong Beijing Institute of Light Industry |
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| Abstract: | If X is WCD Banach space then a projectional resolution of identity on X is constructed and dual projectous form resotution of identity on X~*. In this case there exists an equivalent Frechet norm and LUR norm In this paper the relation of WCD property and RN property is studied. Our main result is the Theoreml. |
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| Keywords: | WCD Banach space RN property Fre'chet norm LURnorm |
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