| 欧阳自根,罗李平.Banach空间的粗范数与支撑映射的一致不连续性[J].南华大学学报(自然科学版),1998,(1):.[.Rough Norms and Uniform Discontinuity of Support Functions on Banach Space[J].Journal of University of South China(Science and Technology),1998,(1):.] |
| Banach空间的粗范数与支撑映射的一致不连续性 |
| Rough Norms and Uniform Discontinuity of Support Functions on Banach Space |
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| DOI： |
| 中文关键词: 粗范数,强粗范数,Fr■chet可微,不可微性,一致不可微性 |
| 英文关键词: |
| 基金项目: |
| 欧阳自根 罗李平 |
中南工学院基础课部!衡阳，421001(欧阳自根)
，衡阳教育学院数学系!衡阳，421008(罗李平)
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| 摘要点击次数: 715 |
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| 中文摘要: |
| 本文讨论了Banach空间中范数的粗性与不可微性之间的相互关系，并给出了范数粗的若干充要条件以及范数粗的一些性质，同时还讨论了支撑映射的一致不连续性。 |
| 英文摘要: |
| This paper has discussed the relativity between rough property and disdifferentiability on Banach space. Some necessary and sufficient conditions and some property of rough norms on Banach space have been given, and uniform discontinuity of support functions are discussed. |
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