一般Orlicz空间的一致非方性

Uniformly nonsquare nature of general Orlicz spaces

为给出自反的l0M空间具有一致非方性质的一个充分必要条件,在已知N-函数条件下,Orlicz空间具有一致非方性的基础上,进一步研究Orlicz函数生成的Orlicz序列空间的一致非方性。采用反证法,在已有定理条件减弱的情况下,分成若干情形论述自反的l0M空间是一致非方的,从而使一致非方性在更广泛的范围内适用。

For the sufficient and necessary condition of uniformly nonsquare nature in the reflexive spaces, this paper is a deeper study on the uniformly nonsquare in the Orliez sequence spaces that the Orlicz function generates under the condition of the known N - function and the Orlicz spaces having uniformly nonsquare nature. In the case of weakening of the existing theorem conditions, the paper describes the use of the contradiction to divide it into certain situations to prove that the reflexive l^0M spaces is the uniformly nonsquare, resulting in a wider use of uniformly nonsquare.