摘要
将理想收敛应用到Banach空间研究中,利用序列的(弱)极大理想收敛来刻画局部(弱)紧集,作为推论也得到了(弱)紧集合的(弱)极大理想收敛刻画.
This paper applies ideal convergence to the research of Banach spaces.Such an application characterizes locally(weakly)compact sets by using the(weakly)maximally ideal convergence of the sequence.Consequently,we can also get the characterization of(weakly)compact sets via(weakly)maximally ideal convergence.
作者
王波
施慧华
孟庆丰
WANG Bo;SHI Huihua;MENG Qingfeng(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)
出处
《厦门大学学报（自然科学版）》
CAS
CSCD
北大核心
2018年第5期684-687,共4页
Journal of Xiamen University：Natural Science
基金
国家自然科学基金(11401227)
福建省自然科学基金(2015J05007)
关键词
极大理想
理想收敛
局部(弱)紧
(弱)紧
maximal ideal
ideal convergence
locally(weakly)compact
(weakly)compact
