Banach空间的极限算子  

Limited operators in Banach spaces

作　　者：林鸿钊[1] 

机构地区：[1]福建农林大学计算机与信息学院,福建福州350002

出　　处：《福建农林大学学报（自然科学版）》2010年第1期107-111,共5页Journal of Fujian Agriculture and Forestry University:Natural Science Edition

基　　金：福建农林大学青年教师基金资助项目(07B25);福建省教育厅资助项目(JA09072)

摘　　要：给出Banach空间的极限算子的等价刻画,得到了极限算子的一些基本性质,并将其与其他几种算子(条件w紧算子、严格奇异算子、严格余奇异算子)进行了比较.证明了极限算子全体构成真闭满射算子理想.Some equivalent descriptions of the limited operators in Banach spaces between X and Y were given.Some propositions were got,which were compared with other kinds of operators（conditional weak compact operators,strict singularity operators,strict cosingularity operators）.It was proved that all the limited operators constituted a real and closed surjective operator ideal.

关 键 词：BANACH空间 极限算子 算子理想 

分 类 号：O177.2[理学—数学]