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• W1484302544 abstract "For 1 ≤ p ≤ 2 let E be a p-concave symmetric Banach sequence space, so in particular contained in ℓp. It is proved in [14] and [15] that for each weakly 2-summable sequence (xn) in E the sequence (║xn║p) of norms in ℓp is a multiplier from ℓp into E. This result is a proper improvement of well-known analogues in ℓp-spaces due to Littlewood, Orlicz, Bennett and Carl, which had important impact on various parts of analysis. We survey on a series of recent articles around this cycle of ideas, and prove new results on approximation numbers and strictly singular operators in sequence spaces. We also give applications to the theories of eigenvalue distribution and interpolation of operators." @default.
• W1484302544 created "2016-06-24" @default.
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• W1484302544 date "2001-01-01" @default.
• W1484302544 modified "2023-10-18" @default.
• W1484302544 title "Summing inclusion maps between symmetric sequence spaces, a survey" @default.
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• W1484302544 doi "https://doi.org/10.1016/s0304-0208(01)80035-9" @default.
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