Local Properties of Convex Sets
碩士 === 輔仁大學 === 數學系研究所 === 91 === Different locally geometric properties of Banach spaces have been studied by many authors. In this thesis, we introduce the notions of Lk-R, Lk-UR, and Lk-NUC for the general closed convex sets in a real Banach space and established several equivalent for...
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2003
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| Online Access: | http://ndltd.ncl.edu.tw/handle/85050978588990400118 |
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ndltd-TW-091FJU004790052015-10-13T17:01:32Z http://ndltd.ncl.edu.tw/handle/85050978588990400118 Local Properties of Convex Sets 凸集合的局部性質 Ying Chu_yin 應筑伊 碩士 輔仁大學 數學系研究所 91 Different locally geometric properties of Banach spaces have been studied by many authors. In this thesis, we introduce the notions of Lk-R, Lk-UR, and Lk-NUC for the general closed convex sets in a real Banach space and established several equivalent forms of these notions in terms of the boundary, drops, moons, and removing the barycenter. Also, we study the relationship among Lk-R, Lk-UR, and Lk-NUC sets. Tsing-jen Ho 何清人 2003 學位論文 ; thesis 23 zh-TW |
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NDLTD |
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zh-TW |
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Others
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碩士 === 輔仁大學 === 數學系研究所 === 91 === Different locally geometric properties of Banach spaces have been studied by many authors. In this thesis, we introduce the notions of Lk-R, Lk-UR, and Lk-NUC for the general closed convex sets in a real Banach space and established several equivalent forms of these notions in terms of the boundary, drops, moons, and removing the barycenter. Also, we study the relationship among Lk-R, Lk-UR, and Lk-NUC sets.
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| author2 |
Tsing-jen Ho |
| author_facet |
Tsing-jen Ho Ying Chu_yin 應筑伊 |
| author |
Ying Chu_yin 應筑伊 |
| spellingShingle |
Ying Chu_yin 應筑伊 Local Properties of Convex Sets |
| author_sort |
Ying Chu_yin |
| title |
Local Properties of Convex Sets |
| title_short |
Local Properties of Convex Sets |
| title_full |
Local Properties of Convex Sets |
| title_fullStr |
Local Properties of Convex Sets |
| title_full_unstemmed |
Local Properties of Convex Sets |
| title_sort |
local properties of convex sets |
| publishDate |
2003 |
| url |
http://ndltd.ncl.edu.tw/handle/85050978588990400118 |
| work_keys_str_mv |
AT yingchuyin localpropertiesofconvexsets AT yīngzhùyī localpropertiesofconvexsets AT yingchuyin tūjíhédejúbùxìngzhì AT yīngzhùyī tūjíhédejúbùxìngzhì |
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