Abstract
Operators T that belong to some summing operator ideal can be characterized by means of the continuity of an associated tensor operator $${\overline{T}}$$ that is defined between tensor products of sequences spaces. In this paper, we provide a unifying treatment of these tensor product characterizations of summing operators. We work in the more general frame provided by homogeneous polynomials, where an associated “tensor” polynomial—which plays the role of $${\overline{T}}$$ —, needs to be determined first. Examples of applications are shown.
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