| 算子级数的向量值乘数收敛 |
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| 引用本文： | 陶元红,葛琦.算子级数的向量值乘数收敛[J].黑龙江大学自然科学学报,2008,25(4). |
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| 作者姓名： | 陶元红 葛琦 |
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| 摘 要： | 获得了关于向量值乘子E的一个特征条件,它保证了按值域空间的弱拓扑为E乘数收敛的算子级数必也按值域空间的Helliger-Toeplitz拓扑为E乘数收敛的.此外还给出了具有滑脊性的向量值乘子与AK-空间之间的有趣联系.
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| 关 键 词： | 局部凸空间 算子级数 乘数收敛 AK-空间 |
Vector-valued multiplier convergence of operator series |
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| Tao Yuanhong,Ge Qi.Vector-valued multiplier convergence of operator series[J].Journal of Natural Science of Heilongjiang University,2008,25(4). |
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| Authors: | Tao Yuanhong Ge Qi |
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| Abstract: | A characteristic condition on vector-valued multiplier E is obtained, which guarantees that an operator series ∑ Tk being E multiplier convergent in the weak topology of the range space is also E multiplier convergent in a Helliger-Toeplitz topology of the range space.Moreover, some interesting relationship between the vector-valued multiplier E with gliding hump properties and AK-spaces are given. |
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| Keywords: | locally convex space operator series multiplier convergence AK-space |
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