Orlicz-Bochner序列空间的(K)性质

Property (K) of Orlicz-Bochner sequence spaces

讨论Orlicz-Bochner序列空间的(K)性质,利用生成函数M及Orlicz-Bochner序列空间的性质,并在假设Banach空间X具有Schur性质的前提下,得到Orlicz-Bochner序列空间具有(K)性质的充要条件,进而得到Orlicz-Bochner序列空间具有弱不动点性质的一个充分条件.

In this paper,we investigate the property(K)of Orlicz-Bochner se-quence spaces.Analysing and combining the generating function M and properties of the Orlicz-Bochner sequence spaces,when the Banach space X has the Schur property,we get the sufficient and necessary condition of the property(K)of Orlicz-Bochner sequence spaces,and then we get a sufficient condition of Orlicz-Bochner sequence spaces with the weak fixed point property.