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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-1-4, author = {G. Botelho and H.-A. Braunss and H. Junek and D. Pellegrino}, title = {Holomorphy types and ideals of multilinear mappings}, journal = {Studia Mathematica}, volume = {173}, year = {2006}, pages = {43-65}, zbl = {1112.46038}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-1-4} }
G. Botelho; H.-A. Braunss; H. Junek; D. Pellegrino. Holomorphy types and ideals of multilinear mappings. Studia Mathematica, Tome 173 (2006) pp. 43-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-1-4/