When is the Haar measure a Pietsch measure for nonlinear mappings?
Geraldo Botelho ; Daniel Pellegrino ; Pilar Rueda ; Joedson Santos ; Juan Benigno Seoane-Sepúlveda
Studia Mathematica, Tome 209 (2012), p. 275-287 / Harvested from The Polish Digital Mathematics Library
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We show that, as in the linear case, the normalized Haar measure on a compact topological group G is a Pietsch measure for nonlinear summing mappings on closed translation invariant subspaces of C(G). This answers a question posed to the authors by J. Diestel. We also show that our result applies to several well-studied classes of nonlinear summing mappings. In the final section some problems are proposed.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:285734 
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Geraldo Botelho; Daniel Pellegrino; Pilar Rueda; Joedson Santos; Juan Benigno Seoane-Sepúlveda. When is the Haar measure a Pietsch measure for nonlinear mappings?. Studia Mathematica, Tome 209 (2012) pp. 275-287. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-3-5/