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| Banach空间中不等价的算子非紧性测度 |
| Inequivalent measure of noncompactness of operators in Banach spaces |
| 投稿时间：2018-05-03 修订日期：2018-06-30 |
| DOI： |
| 中文关键词: 非紧性测度 算子非紧性测度 不等价测度 Banach空间. |
| 英文关键词: Measure of noncompactness Measure of noncompactness of operators Inequivalent measure Banach space. |
| 基金项目:基金项目：高校博士启动科研基金(L21704),福建省中青年教师教育科研项目(JAT170337). |
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| 中文摘要: |
| 本文从新的观点研究Banach空间中的算子非紧性测度, 在Banach空间上给出一个算子非紧性测度的构造定理, 并利用此定理我们证明了具有无限分解的Banach空间, 特别地, 具有无条件基的Banach空间上都存在着不等价的算子非紧性测度. |
| 英文摘要: |
| In this paper, we use a new point of view to study the measure of noncompactness of operators in Banach space . we give a construction theorem of measure of noncompactness of operators, then we use this theorem to prove that every Banach space with infinite decomposition, in particular, admitting an unconditional basis has a measure of noncompactness of operators which is not equivalent to the Hausdorff measure of noncompactness of operators. |
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