文章摘要
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).
作者单位E-mail
沈钦锐 数学与统计学院 qinrui327@163.com 
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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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