| Banach空间中一类C~∞函数芽的分裂引理 |
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| 引用本文： | 岑燕斌 岑燕明. Banach空间中一类C~∞函数芽的分裂引理[J]. 贵州师范大学学报(自然科学版), 1994, 12(4): 31-34 |
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| 作者姓名： | 岑燕斌 岑燕明 |
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| 作者单位： | 黔南师专数学系，贵州民族学院数学系 |
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| 摘 要： | 分裂引理是突变论的基本定理。文［１］给出了Ｈｉｌｂｅｒ对空间中一类Ｃ~∞函数芽相应的结论。继［１］，我们将证明自反Ｂａｎａｃｈ空间中这类Ｃ~∞函数芽的分裂引理。
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| 关 键 词： | 巴拿赫，芽，分裂定理 |
THE SPLITTING LEMMA OF A CATEGORY OF C￣∞ FUNCTION GERMS ON BANACH SPACE |
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| Cen Yanbin. THE SPLITTING LEMMA OF A CATEGORY OF C￣∞ FUNCTION GERMS ON BANACH SPACE[J]. Journal of Guizhou Normal University(Natural Sciences), 1994, 12(4): 31-34 |
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| Authors: | Cen Yanbin |
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| Abstract: | The splitting lemma is a fundamental theorem in catastrophe theory.In [l],the corresponding conclusion of a category- of C￣∞ function germswhich are defined on a Hilbert space is given.Following[1], we haveprove the splitting lemma of this category of C￣∞ function germs. whichare defined on neighbourhoods of the origin in a reflex.ive,Banach SPace. |
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| Keywords: | Banach Germ Splitting lemma |
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