Shift invariant subspaces with arbitrary indices in l(p) spaces

Evgeny Abakumov (1) , A Borichev

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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).

Domaines: Physique mathématique [math-ph]

Evgeny Abakumov, A Borichev. Shift invariant subspaces with arbitrary indices in l(p) spaces. Journal of Functional Analysis, 2002, 188 (1), pp.1--26. ⟨10.1006/jfan.2001.0850⟩. ⟨hal-00693657⟩