Banach空间中m-增生、奇算子的映射定理  

Some Mapping Theorems of m-Accretive Odd Operators in Banach Spaces

作　　者：范瑞琴[1] 

机构地区：[1]河北大学数学系,河北保定071002

出　　处：《应用泛函分析学报》1999年第3期273-278,共6页Acta Analysis Functionalis Applicata

摘　　要：利用连续线性泛函满足的某些条件，给出了关于ｍ－增生、奇算子的一些映射结果，这些结果是对已有文献中相应结果的改进．其中第二节中考虑了算子的奇性，运用Ｂｏｒｓｕｋ定理得出了ｍ一增生、奇算子的映射定理；在第三节中讨论了凝聚映射的相应结果．Some mapping results on m-accretive odd operators are given by way of linear functional conditions. These results extend various results of [1], [2]. The oddness of operators is considered in section 2, so some mapping theorems are obtained by Borsuk's theorem. The corresponding results on condensive mapping are discussed in section 3.

关 键 词：M-增生算子 奇算子 凝聚映射 紧映射 度理论 

分 类 号：O177.91[理学—数学]