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.
出处
《应用泛函分析学报》
CSCD
1999年第3期273-278,共6页
Acta Analysis Functionalis Applicata
关键词
M-增生算子
奇算子
凝聚映射
紧映射
度理论
m-accretive operator
odd operator
condensive mapping
compact mapping
degree theory