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

• Autorzy: Geraldo Botelho , Daniel Pellegrino , Pilar Rueda , Joedson Santos , Juan Benigno Seoane-Sepúlveda
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28C10: Set functions and measures on topological groups or semigroups, Haar measures, invariant measures
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 213
• Numer: 3
• Strony: 275-287

Daty

wydano

2012

Twórcy

autor

Geraldo Botelho

• Faculdade de Matemática, Universidade Federal de Uberlândia, 38.400-902 Uberlândia, Brazil

autor

Daniel Pellegrino

• Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900 João Pessoa, Brazil

autor

Pilar Rueda

• Departamento de Análisis Matemático, Universidad de Valencia, 46100 Burjasot, Valencia, Spain

autor

Joedson Santos

• Departamento de Matemática, Universidade Federal de Sergipe, 49.500-000 Itabaiana, Brazil

autor

Juan Benigno Seoane-Sepúlveda

• Departamento de Análisis Matemático, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040 Madrid, Spain

Identyfikatory

DOI

10.4064/sm213-3-5