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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-?qΓ?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
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