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Behaviours of of (L)sets and almost (L)sets under the linear operators
Pages: 116-119
Year: Issue:  1
Journal: Journal of Southwest University for Nationalities(Natrual Science Edition)

Keyword:  巴拿赫空间巴拿赫格(L)集几乎(L)集;
Abstract: T.Leavelle,Aqzzouz B在巴拿赫空间和巴拿赫格的共轭空间中分别引入了(L)集和几乎(L)集的概念,它们分别在刻画巴拿赫空间的空间结构和巴拿赫格的序结构方面有重要应用.本文利用(L)集刻画了具有Schur性质的巴拿赫空间的结构特征.研究了(L)集和几乎(L)集在有界线性算子下的象的性态,给出了(L)集和几乎集在线性算子下的象分别是(L)集和几乎(L)集的一些充分条件.
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