Holomorphy types and ideals of multilinear mappings
Volume 177 / 2006
Studia Mathematica 177 (2006), 43-65
MSC: Primary 46G25, 46G20; Secondary 47B10.
DOI: 10.4064/sm177-1-4
Abstract
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.
