In this paper, we comment on the complexity of the invariant subspaces (under the bilateral Dirichlet shift f → ζ f) of the harmonic Dirichlet space D. Using the sampling theory of Seip and some work ...
Let T ∈ L(X)n be a Cowen–Douglas tuple on a Banach space X. We use functional representations of T to associate with each T-invariant subspace Y ⊂ X an integer called the fiber dimension fd(Y) of Y.
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