lp(1≤p<∞)商空间的Maluta常数

数学物理学报 ›› 1997, Vol. 17 ›› Issue (S1): 97-101.

l_p(1≤p<∞)商空间的Maluta常数

胡长松

湖北师范学院数学系黄石 435002

收稿日期:1996-08-27 修回日期:1997-03-06 出版日期:1997-12-26 发布日期:1997-12-26
基金资助:
湖北省高校重点科技项目资助

Maluta Coefficients of Quotients Spaces of l_p(1 ≤ p<∞)

Hu Changsong

Department of Mathematics, Hubei Normal University Huangshi 435002

Received:1996-08-27 Revised:1997-03-06 Online:1997-12-26 Published:1997-12-26

摘要/Abstract

摘要： 为研究介于正规结构和一致正规结构之间的Banach空间的结构性质,Maluta^[1]给出Banach空间X的Maluta常数D(X)的定义,该文给出当M是X的具Schur性的可余闭子空间时有D(X/M)=D(X),并计算出l_p商空间的Maluta常数.

关键词: 弱收敛序列常数, Maluta常数, 商空间

Abstract: For a Banach space X. Maluta introduced the Maluta coefficient of X denoted as D(X). In this paper, we study the Maluta coefficient of quotients spaces of l_p and show that D(X/M)=D(X), if M is complemented subspace in X and has schur property.

Key words: weakly sequence coefficients, Maluta coefficients, quotients space

胡长松. l_p(1≤p<∞)商空间的Maluta常数[J]. 数学物理学报, 1997, 17(S1): 97-101.

Hu Changsong. Maluta Coefficients of Quotients Spaces of l_p(1 ≤ p<∞)[J]. Acta mathematica scientia,Series A, 1997, 17(S1): 97-101.