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Primarite deL p (l r , 1<p,r<∞ |
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| Authors: | M Capon |
| Institution: | (1) Université de Paris — Sud, 91405 Orsay, Paris |
| Abstract: | In this article we show that if 1<p, r<∞, the spaceL p (l r ) is primary. If we let (h k ) be the Haar system inL p and (e i ) the usual base ofl r , we give sufficient conditions on a subsequence of (h k ⊗e i ) k ≧1,i≧1 for it to generate a space isomorphic toL p (l r ). We deduce the primarity ofL p (l r ). |
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