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The Hilbert space $$\mathcal {D}_{2}$$D2 is the space of all holomorphic functions f defined on the open unit disc $$\mathbb {D}$$D such that $${f}^{'}$$f′ is in the Hardy Hilbert space… Click to show full abstract
The Hilbert space $$\mathcal {D}_{2}$$D2 is the space of all holomorphic functions f defined on the open unit disc $$\mathbb {D}$$D such that $${f}^{'}$$f′ is in the Hardy Hilbert space $$\mathbf {H}^2.$$H2. In this paper, we prove that the invariant subspaces of $$\mathcal {D}_{2}$$D2 with respect to multiplication operator $$M_{z}$$Mz can be approximated with finite co-dimensional invariant subspaces. We also obtain a partial result in this direction for the classical Dirichlet space.
Keywords:
subspaces dirichlet;
space;
type spaces;
approximation invariant;
dirichlet type;
invariant subspaces
Journal Title: Complex Analysis and Operator Theory
Year Published: 2018
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Journal Title: Complex Analysis and Operator Theory
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!