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

被引：28

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

页码：299 / 311

页数：13

共 19 条

[1] LAMBDA(P)-SETS IN DUAL OF D(TO INFINITY) [J].