Containment of ð‘0 and ð‘™1 in ð›±1(ð¸, ð¹)
[摘要] Suppose ð›±1(ð¸, ð¹) is the space of all absolutely 1-summing operators between two Banach spaces ð¸ and ð¹. We show that if ð¹ has a copy of ð‘0, then ð›±1(ð¸, ð¹) will have a copy of ð‘0, and under some conditions if ð¸ has a copy of ð‘™1 then ð›±1(ð¸, ð¹) would have a complemented copy of ð‘™1.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学(综合)
[关键词] Absolutely 1-summing operators;copy of ð‘0;copy of ð‘™1. [时效性]