Browsing by Author "DAHIA, elhadj"

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    On the tensorial representation of multi- linear ideals
    (Université de M'sila, 2014) DAHIA, elhadj
    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.