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New characterizations of some Lp-spaces
For a complete measure space (X,∑,μ), we give conditions which force Lp(X,μ), for 1≤p<∞, to be isometrically isomorphic to ℓp(Γ) for some index set Γ which depends only on (X,μ). Also, we give some new characterizations which yield the inclusion Lp(X,μ)⊂Lq(X,μ) for 0<p<q.
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| Main Authors: | , |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
Hindawi Limited
2000-01-01
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| Colecção: | International Journal of Mathematics and Mathematical Sciences |
| Assuntos: | |
| Acesso em linha: | http://dx.doi.org/10.1155/S0161171200002465 |
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