| 关于测度稠密性与测度半稠密性的几个定理 |
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| 引用本文： | 杜芹香. 关于测度稠密性与测度半稠密性的几个定理[J]. 宁波大学学报(理工版), 1998, 0(1) |
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| 作者姓名： | 杜芹香 |
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| 作者单位： | 宁波大学师范学院数学系 |
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| 摘 要： | 提出了测度空间（ＸＡ，）中测度稠密性和测度半稠密性的两个概念，在给定条件下证明了集代数ＦＡ在（Ｆ）中的测度稠密性及半集代数ＳＡ在（Ｓ）中的测度半稠密性；并将所得结果应用于线性赋范空间［ａ，ｂ］的可分性的证明。
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| 关 键 词： | 集代数，半集代数，测度稠密性，测度半稠密性，对称差运算 |
ON SOME THEOREM OF MEASURE DENSITY ANDMEASURE SEMIDENSITY |
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| Du Qinxiang. ON SOME THEOREM OF MEASURE DENSITY ANDMEASURE SEMIDENSITY[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 1998, 0(1) |
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| Authors: | Du Qinxiang |
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| Abstract: | Two concepts of the measure density and the measure semidensily in a measure space (X,A, ) are proposed. lt is proved under certain conditions that the set algebra FA is measure dense in (F) , and the set semialgebra SA is measure semidense in (S). Besides, an application of the above results in proving the separatability of the normed linear space Lp[a,b] is given. |
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| Keywords: | set algebra set semialgebra measure density measure semidensity symmetric difference operation |
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