JournalspmVol. 64, No. 2pp. 175–191

Coincidence situations for absolutely summing non-linear mappings

  • Geraldo Botelho

    Universidade Federal de Uberlândia, Brazil
  • Daniel Pellegrino

    Universidade Federal da Paraíba, João Pessoa, Brazil
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Abstract

Situations where every linear operator between certain Banach spaces is absolutely (p;q)(p;q)-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.

Cite this article

Geraldo Botelho, Daniel Pellegrino, Coincidence situations for absolutely summing non-linear mappings. Port. Math. 64 (2007), no. 2, pp. 175–191

DOI 10.4171/PM/1782