Dominated multilinear operators defined on tensor products of Banach spaces

dc.contributor.authorAthmane Ferradi
dc.contributor.authorLahcene Mezrag
dc.date.accessioned2022-07-11T09:41:10Z
dc.date.available2022-07-11T09:41:10Z
dc.date.issued2022
dc.description.abstractIn this paper, we introduce and study new classes of dominated multilinear operators, which we call ðp; p1; . . .; pn;G1; . . .;GnÞ-dominated and ð ~ p; p1; . . .; pn;G1; . . .;GnÞ-dominated multilinear operators defined on the tensor product of Banach spaces. Some characterizations of this type of operators are given and we prove some important coincidence results. As an application, we characterize ðp; p1; . . .; pnÞ-dominated multilinear operators on CðK;GÞ and ðp; p1; . . .; pnÞdominated multilinear operators in the sense of Dinculeanu on CðK;GÞ, where K is a compact Hausdorff space and G a Banach space. We also treat the connection between an operator T and its associated operators Tt; T~ and T# for certain classesen_US
dc.identifier.urihttp://dspace.univ-msila.dz:8080//xmlui/handle/123456789/30107
dc.publisherUniversité de M'silaen_US
dc.subjectDominated multilinear operators (p, G)-summing operators ð~ p;GÞ-summing operators Pietsch domination–factorization theoremen_US
dc.titleDominated multilinear operators defined on tensor products of Banach spacesen_US
dc.typeArticleen_US

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