B. Eidt

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20192026

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math.FA2026

Universal operators: topology and consequences of ISP failure

João Carmo, Ben-Hur Eidt, Waleed Noor

Assuming a negative answer to the invariant subspace problem for separable complex Hilbert spaces, we prove that every universal operator has a continuum of minimal infinite-dimens…

math.FA2024

Beurling and Model subspaces invariant under a universal operator

Ben Hur Eidt, S. Waleed Noor, Waleed Noor

We classify the Beurling and model subspaces of the Hardy space $H^{2} (D)$ that are invariant under the composition operators $C_{ϕ_{a}}$ , where $ϕ_{a} (z) = a z + 1 - a$ and $0 < a < 1$ . Th…

math.FA2023

Minimal invariant subspaces for an affine composition operator

João R. Carmo, Ben Hur Eidt, S. Waleed Noor

The composition operator $C_{ϕ_{a}} f = f \circ ϕ_{a}$ on the Hardy-Hilbert space $H^{2} (D)$ with affine symbol $ϕ_{a} (z) = a z + 1 - a$ and $0 < a < 1$ has the property that the Invariant Subspa…