6533b835fe1ef96bd129f2b4

RESEARCH PRODUCT

Remarks on p-summing multipliers.

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Let X and Y be Banach spaces and 1 ≤ p < ∞, a sequence of operators (Tn) from X into Y is called a p-summing multiplier if (Tn(xn)) belongs to lp(Y) whenever (xn) satisfies that ((x*, xn)) belongs to lp for all x* ∈ X*. We present several examples of p-summing multipliers and extend known results for p-summing operators to this setting. We get, using almost summing and Rademacher bounded operators, some sufficient conditions for a sequence to be a p-summing multiplier between spaces with some geometric properties.