Author

Waleed Noor

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Preprint Oct 2026

Universal operators: topology and consequences of ISP failure

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-dimensional invariant subspaces with pairwise trivial intersections. These subspaces can be chosen so that the restrictions are invertible and the...

João R. Carmo, B. Eidt, Waleed Noor · 0 citations

Preprint Oct 2026

A Hardy-space operator acting on $\zeta$-zeros

A Hardy space approach to the Nyman-Beurling and B\'aez-Duarte criterion for the Riemann Hypothesis (RH) was introduced in [7]. It states that the RH holds if and only if the span of a particular sequence of functions $(h_k)_{k\geq2}$, denoted $\mathcal{N}$, is dense in the Hardy space $H^2$. In this note we construct...

J. Manzur, Waleed Noor · 0 citations