On scalar-valued nonlinear absolutely summing mappings
Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 281-288
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We investigate cases (“coincidence situations”) in which every scalar-valued continuous $n$-homogeneous polynomial (or every continuous $n$-linear mapping) is absolutely $(p;q)$-summing. We extend some well known coincidence situations and obtain several non-coincidence results, inspired by a linear technique due to Lindenstrauss and Pełczyński.
Keywords:
investigate cases coincidence situations which every scalar valued continuous n homogeneous polynomial every continuous n linear mapping absolutely summing extend known coincidence situations obtain several non coincidence results inspired linear technique due lindenstrauss czy ski
Affiliations des auteurs :
Daniel Pellegrino 1
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author = {Daniel Pellegrino},
title = {On scalar-valued nonlinear absolutely summing mappings},
journal = {Annales Polonici Mathematici},
pages = {281--288},
publisher = {mathdoc},
volume = {83},
number = {3},
year = {2004},
doi = {10.4064/ap83-3-10},
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url = {http://geodesic.mathdoc.fr/articles/10.4064/ap83-3-10/}
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TY - JOUR AU - Daniel Pellegrino TI - On scalar-valued nonlinear absolutely summing mappings JO - Annales Polonici Mathematici PY - 2004 SP - 281 EP - 288 VL - 83 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap83-3-10/ DO - 10.4064/ap83-3-10 LA - en ID - 10_4064_ap83_3_10 ER -
Daniel Pellegrino. On scalar-valued nonlinear absolutely summing mappings. Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 281-288. doi: 10.4064/ap83-3-10
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