| 赋范线性空间的第二对偶空间 |
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| 引用本文： | 李容录. 赋范线性空间的第二对偶空间[J]. 数学研究及应用, 1981, 1(2): 49-53 |
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| 作者姓名： | 李容录 |
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| 作者单位： | 哈尔滨工业大学 |
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| 摘 要： | Theorem. A mapping x** of X* into sealar field Φ is a linear functional if and only if there exists a μ∈ba(S) such that X**(X*)=∫sx*(s)μ(ds),x*∈X* Theorem. F∈ba(S.Σ)* if and only if there exists a λ∈ba (T) (T is the closed unit sphere of the space B(S,Σ))such that F(μ)=∫(∫st(s)μ(ds))λ(dt),μ∈ba(S,Σ).
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| 收稿时间： | 1981-01-28 |
The Second Duals of the Normed Linear Spaces |
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| Li Ronglu. The Second Duals of the Normed Linear Spaces[J]. Journal of Mathematical Research with Applications, 1981, 1(2): 49-53 |
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| Authors: | Li Ronglu |
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| Affiliation: | Harbin Institute of Technology |
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