On scalar-valued nonlinear absolutely summing mappings

• Autorzy: Daniel Pellegrino
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46G25: (Spaces of) multilinear mappings, polynomials
• 46B15: Summability and bases

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 83
• Numer: 3
• Strony: 281-288

Daty

wydano

2004

Twórcy

autor

Daniel Pellegrino

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

Identyfikatory

DOI

10.4064/ap83-3-10