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On the tensorial representation of multi- linear ideals

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dc.contributor.author DAHIA, elhadj
dc.date.accessioned 2018-02-25T13:33:22Z
dc.date.available 2018-02-25T13:33:22Z
dc.date.issued 2014
dc.identifier.uri http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/3137
dc.description.abstract We introduce some new linear and multilinear ideals, and to study the representation of these ideals by suitable tensor norms. We show that the results that worked for the case of the multi-ideals involving summability could be extended to the more general setting that is constructed starting from the interpolation method, as inclusion theorems, Pietsch's domination theorem, factorization theorems and characterizations by using the adjoints of m-linear operators. We also introduce the ideal of ( p,σ ) -continuous polynomials that extends the nowadays well-known ideal to the more general setting of the interpolated ideals of polynomials. We give a factorization theorem for this new ideal which requires new techniques inspired in the theory of Banach lattices. en_US
dc.language.iso en en_US
dc.publisher Université de M'sila en_US
dc.subject Absolutely continuous operator (polynomials), multilinear operator, tensor norm, tensorial representation, Pietsch domination theorem, factorization. en_US
dc.title On the tensorial representation of multi- linear ideals en_US
dc.type Thesis en_US

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