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math.SP2007
Lacunarity and cyclic vectors for the Backward Shift
Reda Choukrallah
This article gives a description of invariant subspaces for the backward shift generated by vector valued lacunary series and by a class of lacunary power series in $H^2(\mathbb{D}…
math.SP2007
Functions with support in a lacunary system of intervals and cyclicity for the semi-group of left translations
Reda Choukrallah
We prove in the vector-valued spaces (where is a finite dimensional Hilbert space) the cyclicity for the semi-group of left translations of some particul…