PERFECTLY HOMOGENEOUS BASES IN F-SPACES

被引：0

作者：

MORROW, JR

机构：

[1] Department of Mathematics, Central New England College, Worcester, 01608, Mass.

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1978年 / 29卷 / 2-3期

关键词：

D O I：

10.1007/BF02762009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that in an F-space with a basis (χ n ) n = 1/∞, (χ n ) n = 1/∞ is equivalent to the unit-vectors basis of c 0, l p (p>0), or (s) if and only if (χ n ) n = 1/∞ is equivalent to each of its e{open}-normalized block basic sequences for each e{open}>0. This result is an extension of a theorem of M. Zippin. © 1978 Hebrew University.

引用

页码：199 / 204

页数：6