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When is the Haar measure a Pietsch measure for nonlinear mappings?

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Botelho G., Pellegrino D., Rueda P., Santos J., Seoane-Sepúlveda J.

Studia Mathematica

2012

tom 213

nr 3

275-287

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.

Ograniczanie wyników

1 Studia Mathematica

1 Botelho G.

1 Pellegrino D.

1 Rueda P.

1 Santos J.

1 Seoane-Sepúlveda J.

1 2012

Wyniki wyszukiwania

When is the Haar measure a Pietsch measure for nonlinear mappings?