Preprint in the OpenAI Math release
Backward intertwiners and a transitive commutant
OpenAI
Abstract
We give a negative answer to the hyperinvariant-subspace problem by constructing, on every infinite-dimensional separable complex Hilbert space, a nonzero bounded norm-quasinilpotent operator with no nonzero proper closed hyperinvariant subspace. Its commutant is a proper strongly closed unital transitive complex operator algebra.
open until 1 Jan 2028
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