| 黎斯空间中Carleman算子的序性质 |
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| 引用本文： | 高锁用,赵荣侠.黎斯空间中Carleman算子的序性质[J].宝鸡文理学院学报(社会科学版),1993(1). |
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| 作者姓名： | 高锁用 赵荣侠 |
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| 作者单位： | 陕西师大，宝鸡师范学院数学系 |
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| 摘 要： | 设G是一个赋范的黎斯空间,F是一个黎斯空间,作者证明:受Carleman算子控制的算子也是Carleman算子:序有界的Carleman算子是序闭的;如果T:G→F是Carleman算子.且|T|存在,则|T|也是Carleman算子。
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| 关 键 词： | 算子 黎斯空间 格 |
ORDER PROPERTY OF CARLEMAN OPERATORS IN RIESZ SPACES |
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| Zhao Rongxia.ORDER PROPERTY OF CARLEMAN OPERATORS IN RIESZ SPACES[J].Journal of Baoji College of Arts and Science(Social Science Edition),1993(1). |
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| Authors: | Zhao Rongxia |
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| Institution: | Zhao Rongxia (Department of Mathematics)
Gao Suoyong (Shaanxi Normal University) |
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| Abstract: | Let G be a normed Riesz space and F be a Riesz space. The purpose of this paper is to show
that if a Linear operator is dominated by a carleman operator. then it is also a Carleman operator;
order bounded Carleman operator is order Closed: If T is a Carleman operator from G into F such
thaf the modulus |T| of T exists, then |T| is also a Carleman operator. |
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| Keywords: | Operators Riesz Spaces Lattices |
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