The notion of compactness, which is an important content in functional analysis, is widely used in modern analytical science. In this article, the compactness of set is discussed in lp,p≥2. It is proved that Mlp is precompact set in lp if and only if M is uniformly bounded and uniformly convergent. As an application, an example is presented here.
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赵文强, 张一进.无穷序列空间上紧性问题探讨[J].智能科学与工程学报,2017,34(1):45-47 ZHAO Wenqiang, ZHANG Yijin. Discussion on the Compactness in Space of Infinite Sequences[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2017,34(1):45-47