Fully summing mappings between Banach spaces

• Autorzy: Mário C. Matos , Daniel M. Pellegrino
• Języki publikacji: EN

Abstrakty

EN

We introduce and investigate the non-n-linear concept of fully summing mappings; if n = 1 this concept coincides with the notion of nonlinear absolutely summing mappings and in this sense this article unifies these two theories. We also introduce a non-n-linear definition of Hilbert-Schmidt mappings and sketch connections between this concept and fully summing mappings.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 46T99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 178
• Numer: 1
• Strony: 47-61

Daty

wydano

2007

Twórcy

autor

Mário C. Matos

• IMECC-UNICAMP, Caixa Postal 6065, Campinas, SP, Brazil

autor

Daniel M. Pellegrino

• Departamento de Matemática, Universidade Federal da Paraíba, Cep 58051-900, João Pessoa, PB, Brazil

Identyfikatory

DOI

10.4064/sm178-1-3