| 算子空间L（lp,X）和K（lp,X）的序列弱完备性 |
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| 引用本文： | 卜庆营 荆广珠. 算子空间L（lp,X）和K（lp,X）的序列弱完备性[J]. 烟台大学学报(自然科学与工程版), 1995, 0(3): 9-11 |
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| 作者姓名： | 卜庆营 荆广珠 |
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| 作者单位： | 哈尔滨工业大学，佳木斯工学院 |
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| 摘 要： | 建立了连续线性算子空间Ｌ（ｌｐ，Ｘ）及紧算子空间Ｋ（ｌｐ，Ｘ）和矢值序列空间ｌｐ〔Ｘ〕之间的等距同构关系。通过此关系，给出了算子空间Ｌ（ｌｐ，Ｘ）和Ｋ（ｌｐ，Ｘ）（１〈ｐ〈∞）是序列弱完备空间的特征。
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| 关 键 词： | 算子空间 序列弱完备性 紧算子空间 |
Weakly Sequential Completeness of Operator Spaces L(lp,X)and K(lp,X) |
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| Bu Qingying,Jin Guangzhu. Weakly Sequential Completeness of Operator Spaces L(lp,X)and K(lp,X)[J]. Journal of Yantai University(Natural Science and Engineering edirion), 1995, 0(3): 9-11 |
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| Authors: | Bu Qingying Jin Guangzhu |
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| Affiliation: | Harbin Institute of Technology)Jiamusi Institute of Technology) |
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| Abstract: | The isometrically isomorphic relation between vector-valued sequence spaces lp[x]and continuous linear oporator spaces L(lp,x)is shown. By the relation,a characterization that the operator speces L(lp,x)and K(lp,x)are weakly sequential complete spaces is given. |
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| Keywords: | Vector-valued sequence space. Operator space. Banach space. Weakly sequential completeness. |
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