A note on p-limited sets

Journal of Mathematical Analysis and Applications（2014）

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摘要

Given p⩾1, a subset A of a Banach space X is said to be p-limited if for every weakly p-summable sequence (xn⁎) in X⁎ there exists (αn)∈ℓp such that |〈xn⁎,x〉|⩽αn for all x∈A and n∈N. It is showed that p-limited sets are q-limited whenever p更多

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关键词

p-Limited set,p-Compact set,p-Summing operator,p-Compact operator,Gelfand–Phillips property

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