| 关于线性序同态与LF线性算子的连续性 |
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| 引用本文： | 包玉娥.关于线性序同态与LF线性算子的连续性[J].内蒙古大学学报(自然科学版),1998,29(6):734-739. |
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| 作者姓名： | 包玉娥 |
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| 作者单位： | 内蒙古民族师范学院数学系 |
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| 摘 要： | 给出了线性序同态与ＬＦ线性算子的定义并得到了其结构刻划表示定理，证明了ＬＦ线性算子是线性序同态的点式刻划，在此基础上，讨论了ＬＦ拓扑线性空间上ＬＦ线性算子的连续问题，得到了ＬＦ线性算子连续的若干等介刻划条件。
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| 关 键 词： | 线性序同态 LF线性算子 LF拓扑线性空间 连续性 |
On Continuity of Linear Order Homomorphisms and LF Linear Operators |
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| BAO Yue.On Continuity of Linear Order Homomorphisms and LF Linear Operators[J].Acta Scientiarum Naturalium Universitatis Neimongol,1998,29(6):734-739. |
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| Authors: | BAO Yue |
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| Abstract: | The definitions of linear order homomorphisms and LF linear operators are introducted,and it is proved that the LF linear operator is pointwise depiction of the linear order homomorphism.Furthermore we discuss continuity of LF linear operators in LF topological linear space,and get several equivalent conditions on continuity of LF linear operators. |
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| Keywords: | linear order homomorphism LF linear operator LF topological linear space continuity |
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