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Situations where every linear operator between certain Banach spaces is absolutely -summing are very useful in linear functional analysis. In this paper we investigate situations of this type for three classes (two new and one well known) of nonlinear mappings which are generalizations of the notion of absolutely summing linear operators.
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Geraldo Botelho, Daniel Pellegrino, Coincidence situations for absolutely summing non-linear mappings. Port. Math. 64 (2007), no. 2, pp. 175–191DOI 10.4171/PM/1782