Hahn-Banach定理, Fritz John楕球定理及範數表現定理
| dc.contributor | 施茂祥 | zh_TW |
| dc.contributor | Mau-Hsiang Shih | en_US |
| dc.contributor.author | 許勝溢 | zh_TW |
| dc.contributor.author | Shen-Yi Hsu | en_US |
| dc.date.accessioned | 2019-09-05T01:13:30Z | |
| dc.date.available | 2007-6-29 | |
| dc.date.available | 2019-09-05T01:13:30Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | 在n維歐氏空間中, 一個緊緻凸的對稱集, 會被包含在唯一一個體積最小的楕球中, 而此楕球若縮小n的平方根分之一倍, 則反而會被包含在原本的對稱集內. 同樣條件的集合, 也可以表成所有以原點為中心的楕球的交集. 以上敘述幾何直觀顯得顯然, 本論文利用Hahn-Banach定理提供一嚴謹證明. | zh_TW |
| dc.description.sponsorship | 數學系 | zh_TW |
| dc.identifier | GN0694400046 | |
| dc.identifier.uri | http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0694400046%22.&%22.id.& | |
| dc.identifier.uri | http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101738 | |
| dc.language | 英文 | |
| dc.subject | F. John ellipsoid theorem | en_US |
| dc.title | Hahn-Banach定理, Fritz John楕球定理及範數表現定理 | zh_TW |
| dc.title | Hahn-Banach extension theorem, Fritz John's ellipsoid theorem and representation of norms | en_US |
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