2-summing operators and Λ(2)-systems

被引：1
|
作者：
Baur, F [1 ]
机构：
[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
来源：
ARCHIV DER MATHEMATIK | 1998年 / 71卷 / 06期
关键词：
Equivalent Norm; Orthonormal System; Equal Norm; Banach Ideal;
D O I：
10.1007/s000130050291
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given an infinite orthonormal system B in some L-2(mu) We denote by Pi(B) the Banach ideal of B-summing operators We show that Pi(B) coincides with the Banach ideal Pi(2) of 2-summing operators with equivalent norms if and only if B fails to be a uniformizable Lambda(2)-system and with equal norms if and only if B fails to be a Lambda(2)-system.
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页码：465 / 471
页数：7
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