[1]樊丽颖,张佳宁,曹丽萍,等. Banach 空间的 β 算子[J].哈尔滨理工大学学报,2018,(02):140-143.[doi:10. 15938/j. jhust. 2018. 02. 025]
 FAN Li-ying,ZHANG Jia-ning,CAO Li-ping,et al. β-operator in Banach Spaces[J].哈尔滨理工大学学报,2018,(02):140-143.[doi:10. 15938/j. jhust. 2018. 02. 025]
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 Banach 空间的 β 算子
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《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

卷:
期数:
2018年02期
页码:
140-143
栏目:
材料科学与工程
出版日期:
2018-02-25

文章信息/Info

Title:
 β-operator in Banach Spaces
文章编号:
1007-2683( 2018) 02-0140-04
作者:
 樊丽颖 张佳宁 曹丽萍 宋婧婧
 ( 哈尔滨理工大学 应用数学系,黑龙江 哈尔滨 150080)
Author(s):
 FAN Li-ying ZHANG Jia-ning CAO Li-ping SONG Jing-jing
 ( Department of Applied Mathematics,Harbin University of Science and Technology,Harbin 150080,China)
关键词:
 : β 算子自反空间弱 β 算子 β 算子空间
Keywords:
 : β-operator reflexive space weak β-operator β-operator space
分类号:
O177. 7
DOI:
10. 15938/j. jhust. 2018. 02. 025
文献标志码:
A
摘要:
 :为了研究 Banach 空间算子的一些几何性质,给出了 β 算子和弱 β 算子的定义; 讨论了 β 算子和弱 β 算子的性质,进一步得到了算子具有 β 性质的充分必要条件、 β 算子与具有 β 性质的 空间之间的关系,研究了 β 算子空间的定义及此空间的性质,得到了 β 算子是紧算子的判别条件, 给出了自反空间一个新的特征。
Abstract:
 To study some geometric properties of Banach space operator,the definitions of the β-operator and weak β-operator were given,and the properties of the β-operator and weak β-operator were discussed. Sufficient and necessary conditions for the operator with β-property were obtained. The relationship between properties of βoperator and the space which has β-property were discussed. The definition of β-operator space and the property of this space were studied. The conclusion was obtained that β-operator is a compact operator,and a new feature of reflexive space was given.

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更新日期/Last Update: 2018-06-30