Holomorphy types and ideals of multilinear mappings

• Autores: Geraldo Botelho, H. A. Braunss, H. Junek, Daniel M. Pellegrino
• Localización: Studia mathematica, ISSN 0039-3223, Vol. 177, Nº 1, 2006, págs. 43-65
• Idioma: inglés
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• Resumen

  • We explore a condition under which the ideal of polynomials generated by an ideal of multilinear mappings between Banach spaces is a global holomorphy type. After some examples and applications, this condition is studied in its own right. A final section provides applications to the ideals formed by multilinear mappings and polynomials which are absolutely (p; q)-summing at every point.