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Containment of 𝑐0 and 𝑙1 in 𝛱1(𝐸, 𝐹)
[摘要] Suppose 𝛱1(𝐸, 𝐹) is the space of all absolutely 1-summing operators between two Banach spaces 𝐸 and 𝐹. We show that if 𝐹 has a copy of 𝑐0, then 𝛱1(𝐸, 𝐹) will have a copy of 𝑐0, and under some conditions if 𝐸 has a copy of 𝑙1 then 𝛱1(𝐸, 𝐹) would have a complemented copy of 𝑙1.
[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 𝑐0;copy of 𝑙1. [时效性] 
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