Geodesic
On scalar-valued nonlinear absolutely summing mappings
Daniel Pellegrino1
1Departamento de Matemática e Estatística Universidade Federal de Campina Grande Caixa Postal 10044 Campina Grande, PB, 58109-970, Brazil
Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 281-288
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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.
DOI : 10.4064/ap83-3-10
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

Daniel Pellegrino  1

1 Departamento de Matemática e Estatística Universidade Federal de Campina Grande Caixa Postal 10044 Campina Grande, PB, 58109-970, Brazil 
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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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