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Home > Wen Yuan (High School Edition) > 2021 No.12 > 哈恩-巴拿赫(Hahn-Banach)定理的证明

  • 哈恩-巴拿赫(Hahn-Banach)定理的证明

    Author(s)：

    刘晓溪

    Publication Title：

    Wen Yuan (High School Edition) 2021 No.12

    Affiliations：

    太原师范学院 030619

    Abstract：

    本文以“哈恩-巴拿赫(Hahn-Banach)定理”为中心，叙述定理的定义，包括其证明过程以及证明过程中所运用到的基本思想。关于在定理的证明过程中，实的哈恩-巴拿赫(Hahn-Banach)定理，利用超穷归纳法分三部分去说明；复的哈恩-巴拿赫(Hahn-Banach)定理，通过证明实空间上的哈恩-巴拿赫(Hahn-Banach)定理可知，实函数的延拓是一定成立的，那么如果多了虚部是否依旧可以成立是这一部分所要探讨的内容。

    Keywords：

    哈恩-巴拿赫(Hahn-Banach)定理；线性泛函；超穷归纳法

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    [1] 刘晓溪.哈恩-巴拿赫(Hahn-Banach)定理的证明[J].Wen Yuan (High School Edition),2021(12),.

文渊(高中版)
Wen Yuan (High School Edition)

Language: 中文

CN：11-9276/G

ISSN：2096-6288

Publication Frequency: 月刊

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