Nest代数的某些范数闭理想  

Some Norm Closed Ideals in Nest Algebras

作　　者：朱军 

机构地区：[1]湖北民族学院数学系

出　　处：《数学学报（中文版）》1995年第3期348-354,共7页Acta Mathematica Sinica：Chinese Series

摘　　要：设Ｒ＿Ｎ是Ｎｅｓｔ代数ａｌｇＮ的Ｊａｃｏｂｓｏｎ根，用表示由；生成的ａｌｇＮ的范数闭双边理想。Ｊ．Ｒ．Ｒｉｎｇｒｏｓｅ［１，定理５．４］给出了Ｒ＿Ｎ的Ｋ１ｎｇｒｏｓｅ特征，本文将给出具有广义Ｒｉｎｇｒｏｓｅ特征的充分必要条件。Let R_N be the Jacobson radical of the nest algebra algN, we write for the normclosed two- sided ideal generated by the set R￣n ={T_1T_2…T_n.J . R. Ringrose[1, Theorem 5. 4 ] obtained the character of the Jacobson radical R_N . In this paper,we give an “if and only if ”that has the generalized Ringrose character.

关 键 词：NEST代数 闭双边理想 贾柯勃逊根 范数 

分 类 号：O177.5[理学—数学]