Invariant subspaces of arbitrary multiplicity for the shift on ℓ¹

Atzmon, Aharon

doi:10.1090/S0002-9939-00-05759-2

Invariant subspaces of arbitrary multiplicity for the shift on $\ell ^1$
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Proc. Amer. Math. Soc. 129 (2001), 1963-1967 Request permission

Abstract:

It is shown that if $n$ is a positive integer or $n=\infty$, then the unilateral shift on $\ell ^1$ has an invariant subspace such that its restriction to it has multiplicity $n$.

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