| 宋文华.度量射影的连续选择(英文)[J].数学研究及应用,2002,22(2):197~204 |
| 度量射影的连续选择(英文) |
| The Continuous Selections for the Metric Projection |
| 投稿时间：2000-10-24 |
| DOI：10.3770/j.issn:1000-341X.2002.02.006 |
| 中文关键词: |
| 英文关键词:continuous selection metric projection weakly continuous |
| 基金项目: |
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| 中文摘要: |
| 本文讨论了集值映射的弱连续选择并应用于度量射影．设Y是Banach空间X的子空间且Y是可分的,在相差一个第一纲集的情况下,于弱拓扑下,支撑于Y上的度量射影是下半连续的并有连续选择． |
| 英文摘要: |
| Some results concerning weakly continuous selection for set-valued mappingare given and, applied to metric projection. Let Y be a subspace of a Banach space X.If Y is a separable reflexive Banach space,reinoved a first category subset, the metricprojection is weakly lower semicontinnous and admits a weakly continuous selection. |
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