6533b859fe1ef96bd12b838d
RESEARCH PRODUCT
When is the Haar measure a Pietsch measure for nonlinear mappings?
Pilar RuedaJuan B. Seoane-sepúlvedaDaniel PellegrinoGeraldo BotelhoJoedson Santossubject
Discrete mathematicsGeneral MathematicsTranslation (geometry)Linear subspaceMeasure (mathematics)Functional Analysis (math.FA)Section (fiber bundle)Mathematics - Functional AnalysisNonlinear systemFOS: MathematicsTopological groupInvariant (mathematics)MathematicsHaar measuredescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-04-25 |