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

dc.contributor.authorJefferies, B
dc.contributor.authorOkada, Susumu
dc.contributor.authorRodrigues-Piazza, Luis
dc.date.accessioned2015-12-10T21:56:04Z
dc.date.issued2007
dc.date.updated2015-12-09T07:34:10Z
dc.description.abstractWe 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
dc.identifier.issn1607-3606
dc.identifier.urihttp://hdl.handle.net/1885/39249
dc.publisherNISC South Africa
dc.sourceQuaestiones Mathematicae
dc.subjectKeywords: Absolutely p-summing; Lp-semivariation; Tensor product
dc.titleLp-valued measures without finite X-semivariation for 2 < p < ∞
dc.typeJournal article
local.bibliographicCitation.issue4
local.bibliographicCitation.lastpage449
local.bibliographicCitation.startpage437
local.contributor.affiliationJefferies, B, University of New South Wales
local.contributor.affiliationOkada, Susumu, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRodrigues-Piazza, Luis , Universidad de Sevilla
local.contributor.authoremailrepository.admin@anu.edu.au
local.contributor.authoruidOkada, Susumu, a236280
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010108 - Operator Algebras and Functional Analysis
local.identifier.ariespublicationu3169606xPUB174
local.identifier.citationvolume30
local.identifier.scopusID2-s2.0-37649005647
local.identifier.uidSubmittedByu3169606
local.type.statusPublished Version

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