On scalar-valued nonlinear absolutely summing mappings
Daniel Pellegrino
Annales Polonici Mathematici, Tome 83 (2004), p. 281-288 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280605 
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Daniel Pellegrino. On scalar-valued nonlinear absolutely summing mappings. Annales Polonici Mathematici, Tome 83 (2004) pp. 281-288. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-3-10/