On ultra-products of some families of composition operators between certain finite dimensional ℓp spaces
Let 0 and lt; σ and lt; 1 and 1 and lt; p, r and lt; ∞ be such that 1/r + (1- σ)/p' = 1. We show that for every continuous linear map T between Banach spaces E, F such that its restriction to every finite dimensional subspace N of E factorizes through a chain of type ℓ∞ (ΩN,μN) → ℓr ∞ (ΩN,μN)...
- Autores:
-
López Molina, J. A.
Sánchez Pérez, E. A.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2001
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43778
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43778
http://bdigital.unal.edu.co/33876/
- Palabra clave:
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | Let 0 and lt; σ and lt; 1 and 1 and lt; p, r and lt; ∞ be such that 1/r + (1- σ)/p' = 1. We show that for every continuous linear map T between Banach spaces E, F such that its restriction to every finite dimensional subspace N of E factorizes through a chain of type ℓ∞ (ΩN,μN) → ℓr ∞ (ΩN,μN) → ℓ 1 (ΩN,μN)+ ℓp((ΩN,μN) where (ΩN,μN) is a discrete measure space with a finite number of atoms, there is a σ- finite measure space (Ω, μ) such that T ∈ L(E, F") factorizes through the chain of "continuous spaces ℓ∞ (ΩN,μN) → ℓr ∞ (ΩN,μN) → ℓ 1 (ΩN,μN)+ ℓp((ΩN,μN) |
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