| 实线性赋范空间中算子的Fermat定理 |
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| 引用本文： | 程丛电.实线性赋范空间中算子的Fermat定理[J].沈阳航空工业学院学报,1999,16(4):54-56. |
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| 作者姓名： | 程丛电 |
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| 作者单位： | 沈阳师范学院 |
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| 摘 要： | 本文给出并证明了文中的定理１，该定理是经典分析中的Ｆｅｒｍａｔ定理在现代分析学中的合理推广。据此又给出了一个中值公式在抽象分析中成立的充分条件。最后，指出了经典分析中的中值定理在抽象分析中不成立。文中各项内容相结合，较深刻地说明了中值定理在抽象分析学中不成立的原因。
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| 关 键 词： | 实线性赋范空间 算子 Fermat定理 中值定理 |
Fermat Theorem about Operators in Real Normel Linear Spaces |
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| Cheng Chongdian.Fermat Theorem about Operators in Real Normel Linear Spaces[J].Journal of Shenyang Institute of Aeronautical Engineering,1999,16(4):54-56. |
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| Authors: | Cheng Chongdian |
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| Institution: | Cheng Chongdian |
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| Abstract: | In this paper, we put forward and prove theorme 1 of the paper, which is ra-tional popularization about fermat theorem of classical analysis in modern analysis. Throughtheorme 1, we give a condition of that mid-value formula is true in medern analysis. Inaddition, we point out that mid - value formula is not true in modern analysis. Combining every items of the contents, we explain the reason why mid - value formula is not true inmedern analysis. |
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| Keywords: | real normed linear space opernator birkhoff orthogonal fermat theorem mid-value formula |
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