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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

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