A-proper映射的固有值和固有元  

EIGENVALUE AND EIGENELEMENTS FOR A-PROPER MAPPINGS

作　　者：赵晓庆[1] 

机构地区：[1]西南师范大学数学系,重庆630715

出　　处：《西南师范大学学报（自然科学版）》1993年第4期408-411,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：研究了A-proper映射和偶A-proper映射的固有值,得到了几个较好的结果.文中首先证明了A-proper映射的固有元在边界上的存在性;然后给出了A-proper映射固有元的整体结构;还证明了偶A-proper映射固有值的存在性.最后利用导算子给出了偶A-proper映射固有值的整体刻划.Eigenvalues for the A-proper mappings and the even A-proper mappings are studied in the paper. Firstly, the existence of eigenelements in the boundary for the A-proper mappings is proved and the global structure of the eigenelements is given. The existence of eigenelements for the even A-proper mappings is furtherly proved and the global characterization of eigenvalues for the even A- proper mappings by the vise of derivate operator is lastly given.

关 键 词：固有值 拓扑度 A-PROPER映射 

分 类 号：O177[理学—数学]