On Beurling-type theorems in weighted 𝑙² and Bergman spaces

Shimorin, Serguei

doi:10.1090/S0002-9939-02-06721-7

On Beurling-type theorems in weighted $l^2$ and Bergman spaces
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Proc. Amer. Math. Soc. 131 (2003), 1777-1787 Request permission

Abstract:

We prove that analytic operators satisfying certain series of operator inequalities possess the wandering subspace property. As a corollary, we obtain Beurling-type theorems for invariant subspaces in certain weighted $l^2$ and Bergman spaces.

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