On summability of nonlinear mappings: a new approach |
| |
Authors: | Daniel Pellegrino Joedson Santos |
| |
Institution: | 1. Departamento de Matemática, Universidade Federal da Paraíba, Jo?o Pessoa, 58051-900, Brazil 2. Departamento de Matemática, Universidade Federal de Sergipe, Itabaiana, 49500-000, Brazil
|
| |
Abstract: | The main goal of this paper is to characterize arbitrary nonlinear (non-multilinear) mappings ${f:X_{1}\times\cdots\times X_{n}\rightarrow Y}$ between Banach spaces that satisfy a quite natural Pietsch Domination-type theorem around a given point ${(a_{1},\ldots,a_{n})\in X_{1}\times\cdots\times X_{n}}$ . As a consequence of our approach a notion of weighted summability arises naturally, which may be an interesting topic for further investigation. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|