| 关于B型良性有界线性算子的共轭算子 |
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| 引用本文： | 程庆平. 关于B型良性有界线性算子的共轭算子[J]. 长江大学学报(社会科学版), 1994, 0(5) |
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| 作者姓名： | 程庆平 |
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| 摘 要： | 在自反Ｂａｎａｃｈ空间上的线性算子Ｔ是Ｂ型良性有界的充要条件是Ｔ＊也是Ｂ型良性有界的，但在非自反空间上这种性质不一定成立。本文在包含可补子空间同构于Ｃ０或ｌ１的Ｂａｎａｃｈ空间上构造了一个Ｂ型良性有界线性算子，但其共轭算子不是Ｂ型的。
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| 关 键 词： | 谱族，恒等分解，B型良性有界线性算子 |
ON A ADJOINT OPERATOR OF THE WELL-BOUNDED OPERATOR OF TYPE(B) |
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| Cheng Qingping. ON A ADJOINT OPERATOR OF THE WELL-BOUNDED OPERATOR OF TYPE(B)[J]. Journal of Yangtze University(Social Sciences), 1994, 0(5) |
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| Authors: | Cheng Qingping |
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| Affiliation: | Mathematics Department |
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| Abstract: | A linear operator T on reflexive Banach space X is well-bounded of type (B) if and only if T* is too, but this property may fail in non-reflexive Banach space. In this paper, we structure a linear operator T on Banach space X which contains a complemented subspace isomorphic to C0 or l1. T is well-bounded of type(B),but T* is not. |
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| Keywords: | pedigree identical decomposition well-bounded linear operator of type(B) |
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