Spaceability in Banach and quasi-Banach sequence spaces |
| |
Authors: | G Botelho D Diniz D Pellegrino |
| |
Institution: | a Faculdade de Matemática, Universidade Federal de Uberlândia, 38.400-902 - Uberlândia, Brazil b UAME-UFCG, Caixa Postal 10044 - 58.109-970, Campina Grande, Brazil c Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900 - João Pessoa, Brazil |
| |
Abstract: | Let X be a Banach space. We prove that, for a large class of Banach or quasi-Banach spaces E of X-valued sequences, the sets E-?q∈Γ?q(X), where Γ is any subset of (0,∞], and E-c0(X) contain closed infinite-dimensional subspaces of E (if non-empty, of course). This result is applied in several particular cases and it is also shown that the same technique can be used to improve a result on the existence of spaces formed by norm-attaining linear operators. |
| |
Keywords: | 46A45 46A16 46B45 |
本文献已被 ScienceDirect 等数据库收录! |
|