THE STRUCTURE OF THE SEQUENCE-SPACES OF MADDOX

被引：15
作者：
GROSSEERDMANN, KG [1 ]
机构：
[1] FERNUNIVGESAMTHSCH HAGEN,GESAMTHSCH,FACHBEREICH MATH & INFORMAT,W-5800 HAGEN,GERMANY
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1992年 / 44卷 / 02期
关键词：
D O I：
10.4153/CJM-1992-020-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The sequence of spaces of Maddox, c0(p), c(p) and l(infinity)(p), are investigated. Here, p = (Pk) is a bounded sequence of strictly positive numbers. It is observed that co(p) is an echelon space of order 0 and that l(infinity(p) is a co-echelon space of order infinity, while clearly c(p) = c0(p) + [(1, 1, 1,...)]. This sheds a new light on the topological and sequence space structure of these spaces: Based on the highly developed theory of (co-) echelon spaces all known and various new structural properties are derived.
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页码：298 / 307
页数：10
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