We study the biinvariant subspaces for the usual shift on the weighted spaces
where and for some integer . We show that the analytic part of all biinvariant subspaces is spectral if diverges, but that this does not hold when converges.
Nous étudions les sous-espaces biinvariants du shift usuel sur les espaces à poids
où et , pour un certain entier . Nous montrons que la trace analytique de tout sous-espace biinvariant est de type spectral, lorsque diverge, mais que ceci n’est plus valable lorsque converge.
@article{AIF_1998__48_5_1543_0, author = {El-Fallah, O. and Kellay, Karim}, title = {Sous-espaces biinvariants pour certains shifts pond\'er\'es}, journal = {Annales de l'Institut Fourier}, pages = {1543--1558}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {48}, number = {5}, year = {1998}, doi = {10.5802/aif.1666}, zbl = {0919.47020}, mrnumber = {99k:47012}, language = {fr}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1666/} }
TY - JOUR AU - El-Fallah, O. AU - Kellay, Karim TI - Sous-espaces biinvariants pour certains shifts pondérés JO - Annales de l'Institut Fourier PY - 1998 SP - 1543 EP - 1558 VL - 48 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1666/ DO - 10.5802/aif.1666 LA - fr ID - AIF_1998__48_5_1543_0 ER -
%0 Journal Article %A El-Fallah, O. %A Kellay, Karim %T Sous-espaces biinvariants pour certains shifts pondérés %J Annales de l'Institut Fourier %D 1998 %P 1543-1558 %V 48 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1666/ %R 10.5802/aif.1666 %G fr %F AIF_1998__48_5_1543_0
El-Fallah, O.; Kellay, Karim. Sous-espaces biinvariants pour certains shifts pondérés. Annales de l'Institut Fourier, Volume 48 (1998) no. 5, pp. 1543-1558. doi : 10.5802/aif.1666. https://aif.centre-mersenne.org/articles/10.5802/aif.1666/
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