摘要讨论了赋范线性空间为自反空间的充分条件和必要条件,并讨论了自反与弱紧的关系。This paper discusses the necessary and sufficient conditions of normed linear spaces equading reflexive space and the relationship between reflexibility and weakly compact.
1Bu SQ , 2011. Functional Analysis Foundation [ M ]. Beijing, Ts- inghua Uninersity Press, ( 1 ), 111-115,127-129( in Chi- nese).
2Pens RC, 1994. On the nature of reflexive space [ J ]. Journal of Zhang]iakou Teachers College( Natural Science) , (2) : 19- 21 ( in Chinese).
3Wang YG,Teng YM ,Jia CHet al. ,2012. Application Functional Analysis[ M]. Beijing University of Aeronautics and As- tronautics Press, ( 1 ) , 86-88( in Chinese).
4Ying M, 2001. An equivalent condition of reflexive space [J]. Journal of Tong]i University, ( 7 ) : 855-856 ( in Chinese).
