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Lp-valued measures without finite X-semivariation for 2 < p < ∞

Jefferies, B; Okada, Susumu; Rodrigues-Piazza, Luis

Description

We 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 a

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
URI: http://hdl.handle.net/1885/39249
Source: Quaestiones Mathematicae

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