UNIQUENESS OF UNCONDITIONAL BASES IN QUASI-BANACH SPACES WITH APPLICATIONS TO HARDY-SPACES

被引：26
|
作者：
KALTON, NJ
LERANOZ, C
WOJTASZCZYK, P
机构：
[1] UNIV MISSOURI,DEPT MATH,COLUMBIA,MO 65211
[2] POLISH ACAD SCI,INST MATH,PL-00950 WARSAW,POLAND
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1990年 / 72卷 / 03期
关键词：
D O I：
10.1007/BF02773786
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove some general results on the uniqueness of unconditional bases in quasi-Banach spaces. We show in particular that certain Lorentz spaces have unique unconditional bases answering a question of Nawrocki and Ortynski. We then give applications of these results to Hardy spaces by showing the spaces H(p)(T(n)) are mutually non-isomorphic for differing values of n when 0 < p < 1.
引用
收藏
页码：299 / 311
页数：13
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