An alternative approach to the uniqueness of unconditional basis of for |
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Authors: | F. Albiac,C. Ler noz |
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Affiliation: | a Universidad Pública de Navarra, Pamplona 31006, Spain |
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Abstract: | We give an alternative and much simpler proof of the uniqueness of unconditional basis (up to equivalence and permutation) in the quasi-Banach spaces ℓp(c0) for 0<p<1 and its complemented subspaces with unconditional basis. The new approach uses the fact that the Banach envelope of these spaces is not sufficiently Euclidean with the lattice structure induced by its unconditional basis. |
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Keywords: | Quasi-Banach space Uniqueness of unconditional basis up to a permutation Lattice anti-Euclidean |
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