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On unitary equivalence of invariant subspaces of the Dirichlet space

Kunyu Guo; Liankuo Zhao — 2010

Studia Mathematica

It is shown that in the Dirichlet space , two invariant subspaces ℳ ₁, ℳ ₂ of the Dirichlet shift $M_{z}$ are unitarily equivalent only if ℳ ₁ = ℳ ₂.

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