Abstract : We construct right shift invariant subspaces of index n, 1 less than or equal to n less than or equal to infinity, in l(p) spaces, 2 < p < infinity, and in weighted l(p) spaces. (C) 2002 Elsevier Science (USA).
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Evgeny Abakumov, A Borichev. Shift invariant subspaces with arbitrary indices in l(p) spaces. Journal of Functional Analysis, Elsevier, 2002, 188 (1), pp.1--26. ⟨10.1006/jfan.2001.0850⟩. ⟨hal-00693657⟩