## Unicellularity of the multiplication operator on Banach spaces of formal power series.(English)Zbl 0995.47020

Let $$\ell^p(\beta)$$ be the weighted space of sequences defined for a weight $$\beta=(\beta_n)$$. The paper gives a sufficient condition for unicellularity of the shift operator in $$\ell^p(\beta)$$ in terms of some estimations of the sequence $$\beta$$.

### MSC:

 47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 47A25 Spectral sets of linear operators 47A15 Invariant subspaces of linear operators
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