Fully summing mappings between Banach spaces
Tom 178 / 2007
Studia Mathematica 178 (2007), 47-61 MSC: 46T99, 46G20. DOI: 10.4064/sm178-1-3
We introduce and investigate the non-$n$-linear concept of fully summing mappings; if $n=1$ this concept coincides with the notion of nonlinear absolutely summing mappings and in this sense this article unifies these two theories. We also introduce a non-$n$-linear definition of Hilbert–Schmidt mappings and sketch connections between this concept and fully summing mappings.