Banach空间中 m-增生、奇算子的映射定理(英文)

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

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Kartsatos and HE Zhen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-增生、奇算子的映射定理 ;

Some mapping results on m-accretive odd operators are given by means of linear functional conditions. These results extend various resutls of Kartsatos and HE Zhen. The oddness of operators is considered in section 2, some mapping theorems are obtained by using Borsuk′s theorem. The corresponding results on condensive mapping are discussed in section 3.