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.

引用

页码：465 / 471

页数：7

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