| 18 | 0 | 13 |
| 下载次数 | 被引频次 | 阅读次数 |
研究了函数空间Lp(Ω,X)(1≤p≤∞)中可分解集的性质,得出了当1≤p≤∞时含有内点的可分解集在Lp(Ω,X)中稠密;并给出了类似于凸集的Mazur定理的关于可分解集的收敛定理。
Abstract：The property of decomposable sets in Lp(Ω,X)(1≤p≤∞) is discussed in this paper.It must be dense in the whole space when it has an inner point in Lp(Ω,X)(1≤p≤∞).The convergence theorem of decomposable sets similar to Mazur theorem is proved.
[1]BOITYANSKI V,GAMKRELIDZE G,PONTYAGIN L S.Theory of optimal and maximum principle[J].Izv Akad NaukSSSR,1960,24:3-42.
[2]GAMKRELIDZE G.On some extremal problems in the theoryof differential equations with applications to the theory of opti-mal control[J].SIAM J Control,1965(3):106-128.
[3]HIAI F,UMEGAKI H.Integrals,conditional expectations andmartingales of multivalued functions[J].Multv Anal,1977(7):149-182.
[4]PAPAGEORGIOU N S.Decomposable sets in the lebesgue-bochner space[J].Comm Math Univ S P,1988(37):65-71.
[5]WATER R.Functional Analysis[M].Beijing:China MachinePress,2004:45-183.
[6]XUE X.On the periodic of differential inclusions and applica-tion[J].Nonlinear Funct Anal,2003,8(2):165-180.
基本信息:
DOI：
中图分类号:O177
引用信息:
[1]王亚萍,刘娅,郭海霞.L~p(Ω,X)中可分解集的性质[J].天津职业技术师范大学学报,2011,21(02):18-21.
基金信息:
天津职业技术师范大学科研项目(KJ10-09)