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

Geraldo Botelho, et al. "When is the Haar measure a Pietsch measure for nonlinear mappings?." Studia Mathematica 213.3 (2012): 275-287. <http://eudml.org/doc/285734>.

@article{GeraldoBotelho2012,
abstract = {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.},
author = {Geraldo Botelho, Daniel Pellegrino, Pilar Rueda, Joedson Santos, Juan Benigno Seoane-Sepúlveda},
journal = {Studia Mathematica},
keywords = {Haar measure; Pietsch measure; nonlinear mapping},
language = {eng},
number = {3},
pages = {275-287},
title = {When is the Haar measure a Pietsch measure for nonlinear mappings?},
url = {http://eudml.org/doc/285734},
volume = {213},
year = {2012},
}

TY - JOUR
AU - Geraldo Botelho
AU - Daniel Pellegrino
AU - Pilar Rueda
AU - Joedson Santos
AU - Juan Benigno Seoane-Sepúlveda
TI - When is the Haar measure a Pietsch measure for nonlinear mappings?
JO - Studia Mathematica
PY - 2012
VL - 213
IS - 3
SP - 275
EP - 287
AB - 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.
LA - eng
KW - Haar measure; Pietsch measure; nonlinear mapping
UR - http://eudml.org/doc/285734
ER -