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Backward shift invariant spaces in H^2
Indiana University Mathematics Journal, 1997If \(b\in B(H^\infty)\), the unit ball of \(H^\infty\), then the de Branges-Rovnyak space \({\mathcal H}(b)\) is a Hilbert space contained contractively in \(H^2\) that is invariant by the backward shift operator \(S^*\). When \(b\) is an inner function the invariant subspaces of \({\mathcal H}(b)\) are given by Beurling's theorem and when \(b\) is not
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Nearly invariant and the backward shift
2009For a \( \mathbb{D} \) function ϑ, form the subspace $$ K_{z\vartheta } : = H^2 \left( \mathbb{D} \right) \cap (z\vartheta H^2 (\mathbb{D}))^ \bot $$ Since z ϑ H2 \( \left( \mathbb{D} \right) \) is an S-invariant subspace of H2\( \left( \mathbb{D} \right) \), then Kzϑ will be an S*-invariant subspace of H2\( \left( \mathbb{D} \right) \), where
Alexandru Aleman +2 more
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2005
z on the classical Hardy space H. Though there are many aspects of this operator worthy of study [20], we will focus on the description of its invariant subspaces by which we mean the closed linear manifolds E ⊂ H for which BE ⊂ E . When 1 1 case involves heavy use of duality and especially the Hahn-Banach separation theorem where one gets at E by ...
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z on the classical Hardy space H. Though there are many aspects of this operator worthy of study [20], we will focus on the description of its invariant subspaces by which we mean the closed linear manifolds E ⊂ H for which BE ⊂ E . When 1 1 case involves heavy use of duality and especially the Hahn-Banach separation theorem where one gets at E by ...
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The unilateral backward shift is w-quasisubscalar
Integral Equations and Operator Theory, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nearly Invariant Subspaces of the Backward Shift
1988A theorem of D. Hitt describing certain subspaces of H2 that miss by one dimension being invariant under the backward shift operator is given a new approach and extended.
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Cancer epigenetics in clinical practice
Ca-A Cancer Journal for Clinicians, 2023Veronica Davalos, Manel Esteller
exaly

