On scalar-valued nonlinear absolutely summing mappings
Volume 83 / 2004
Annales Polonici Mathematici 83 (2004), 281-288
MSC: Primary 46B15; Secondary 46G25.
DOI: 10.4064/ap83-3-10
Abstract
We investigate cases (“coincidence situations”) in which every scalar-valued continuous $n$-homogeneous polynomial (or every continuous $n$-linear mapping) is absolutely $(p;q)$-summing. We extend some well known coincidence situations and obtain several non-coincidence results, inspired by a linear technique due to Lindenstrauss and Pełczyński.
