Banach空间的某类分解

数学物理学报 ›› 1998, Vol. 18 ›› Issue (3): 318-323.

Banach空间的某类分解

石峰

武汉大学数学系武汉 430072

收稿日期:1996-11-21 修回日期:1997-03-31 出版日期:1998-09-26 发布日期:1998-09-26

Some kinds of decomposition of Banach space

Shi Feng

Department of Mathematics of Wuhan University, Wuhan 430072

Received:1996-11-21 Revised:1997-03-31 Online:1998-09-26 Published:1998-09-26

摘要/Abstract

摘要： 该文从Schauder分解出发,考虑了由一类具有特殊基的Banach空间Y所生成的Banach空间Y(X_i,i∈N)(特别是当每个X_i均为Y的标量域)的一些性质,以及它们之间的联系.

关键词: Schauder分解, 有界完备基, 收缩基

Abstract: In this paper, let Y be a Banach space with a special basis, Y(X_i,i∈N) be Banach space generated by Y. We study the geometric property of Y(X_i,i∈N) and the relationship between these two kind of Banach spaces.

Key words: Schauder decomposition, Shrinking basis, Bounded completed basis

石峰. Banach空间的某类分解[J]. 数学物理学报, 1998, 18(3): 318-323.

Shi Feng. Some kinds of decomposition of Banach space[J]. Acta mathematica scientia,Series A, 1998, 18(3): 318-323.