Jefferies, BOkada, SusumuRodrigues-Piazza, Luis2015-12-101607-3606http://hdl.handle.net/1885/39249We show that for 1 < p < ∞, the property that every L p-valued vector measure has finite X-semivariation in L p(μ, X) is equivalent to the property that every continuous linear map from ℓ1 to X is p-summing. For 2 < p < ∞, we explicitly construct aKeywords: Absolutely p-summing; Lp-semivariation; Tensor product20072015-12-09